Let f(x) = 3x + 5 and g(x) = x2. Find g(x)/f(x) and state its domain.

Answers

Answer 1

Let f(x) = 3x + 5 and g(x) = x^2. Find g(x)/f(x) and state its domain

g(x)/f(x) = x^2 / (3x + 5)
set denominator equals 0.
so
3x + 5 = 0
3x = -5
x = -5/3

Therefore x cannot equal -5/3

Domain (-∞ , -5/3) ∪ (-5/3, ∞)

hope it helps

Related Questions

PLEASE HELP ME!!!!!!!!!! 57-4t >(their is an egual sign under the less then sign)13
A. t<=-15
B. t<=15
C. t<=11
D. t=>-11

Answers

57 - 4t > = 13.....subtract 57 from both sides
-4t > = 13 - 57
-4t > = - 44 ...divide both sides by -4, and change the inequality sign
t < = -44 / -4
t < = 11

u solve inequalities much like u do equations except for one very important rule. In an inequality, if u divide/multiply by a negative number, u have to change the inequality sign.

Work: 57-4t>/13
Solve for t
-57 both sides
-4t>/-44
÷-4 both sides
Flip sign since you are dividing by a negative
T < / 11
Answer: t < / 11
Check your work: 10 is less than 11 plug in 10
57-4 (10)>/13
57-40>/13
17>/13
The answer is correct

find the values of x and y

Answers

Ok so 80 and 4x-y form a straight angle.
80+(4x-y)=180
4x-y=100

(4x-y) and (x+2y+10) also form a straight angle, but we know that 4x-y=100
100+x+2y+10=180
x+2y+110=180
x+2y=70

Now we have a system of equation
4x-y=100
x+2y=70

Solve the first equation for y
-y=-4x+100
y=4x-100

Substitute y
x+2(4x-100)=70
x+8x-200=70
9x=270
x=30

Now plug in the known x value
30+2y=70
2y=40
y=20

Final answer: x=30, y=20

Answer:

The values of [tex]x=30^{\circ}[/tex] and [tex]y=20^{\circ}[/tex].

Step-by-step explanation:

A Linear pair is a pair of adjacent angles formed when two lines intersect.

In the given figure, [tex]80^{\circ}[/tex] and [tex]4x-y[/tex] , [tex]4x-y[/tex] and [tex]x+2y+10^{\circ}[/tex] form a linear pair.

By linear pairs theorem, we have

[tex]80^{\circ}+4x-y=180^{\circ}[/tex]

[tex]4x-y+x+2y+10^{\circ}=180^{\circ}[/tex]

On solving we get,

[tex]4x-y=100^{\circ}[/tex] ....(1)

[tex]5x+y=170^{\circ}[/tex] .....(2)

Now, to solve equation (1) and (2) by simultaneously; we get [tex]x=30^{\circ}[/tex]

putting the value of x in equation 1 we get,

[tex]4x-y=100^{\circ}[/tex]

[tex]4\cdot 30^{\circ}-y=100^{\circ}[/tex]

[tex]120^{\circ}-y=100^{\circ}[/tex]

On simplify we have, [tex]y=20^{\circ}[/tex]

Therefore, the values of x and y are: [tex]30^{\circ}[/tex] and [tex]20^{\circ}[/tex]

Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117 .The diagram is not to scale.
a. 108
b. 13
c. 117
d. 126

Answers

Oh I see sorry . My bad thinking!

m< 1 = m<3 ( corresponding angles) so

9x = 117
x = 117 / 9 = 13

x = 13 Answer

Matt reasoned that he can write 9/1000 as 0.9. Is he correct?

Answers

The answer is no, he's not correct.

You're looking at 9/1000, which means you move the (invisible) decimal point after 9 three places to the left (because you're dividing and there are 3 zeros after the 1 in 1000). This would give you 0.009.

No he is not correct because 9/1000 Is 0.009. That is a different value than 0.9. 0.9 is 9/10.

State the vertical, horizontal asymptotes and zeros of the rational function, f(x) = x2+3x+2 x2+5x+4 . why is there no zero at x = –1?

Answers

1 ) x² + 5 x + 4 = 0
x² + 4 x + x + 4 = 0
x ( x + 4 ) + ( x + 4 ) = 0
( x + 1 ) ( x + 4 ) = 0
Vertical Asymptotes are:
x = - 1 and x = - 4
2 ) Horizontal Asymptote:
lim ( x → ∞ ) ( x² + 3 x + 2 ) / ( x² + 5 x + 4 ) = ( L` Hospitals Rule )
= lim ( x → ∞ ) ( 2 x + 3 ) / ( 2 x + 5 ) =
= 2 / 2 = 1
H. A. : y = 1
3 ) Zeros:
x² + 3 x + 2 = 0
x² + 2 x + x + 2 = 0
x ( x + 2 ) + ( x + 2 ) = 0
( x + 1 ) ( x + 2 ) = 0
x1 = - 1 , x2 = - 2
4 ) There is no zero at x = - 1 ( only x = - 2 )
because: f ( - 1 ) = 0 / 0 ( not defined )
This function is defined for:
x ∈ R \ { - 4, - 1 }

What is the completely factored form of 2x2 – 32?
A) (2x2 + 16)(x – 16) '
B) 2(x + 4)(x – 4)
C) 2(x + 8)(x – 4)
D) 2(x – 8)(x – 4)

Answers

2x^2 - 32
2(x^2 - 16)
2(x + 4)(x - 4) <==

The completely factored form of [tex]2x^2 - 32[/tex] is 2(x + 4)(x - 4).

Given that,

The equation is [tex]2x^2 - 32[/tex].We have to determine the factors of the above equation.

Based on the above information, the calculation is as follows:

[tex]= 2x^2 - 32\\\\= 2(x^2 - 16)[/tex]

= 2(x + 4)(x - 4)

Therefore we can conclude that option B is correct.

Learn more: brainly.com/question/14209188

Bill can mow his mother's lawn in 45 minutes. his brother jim can mow it in 65 minutes. how long will it take them to do it together, if each has his own lawnmower? (record your answer in minutes rounded to one decimal place.

Answers

Sixty five plus forty five is one hundred ten
1 hour and 50 minutes

if a number is a natural number then it is also a whole number

Answers

Hey there!

Often times, natural and whole numbers mean the same thing. The only difference is that, sometimes, zero is considered a whole number and not a natural number. However, even if zero isn't a natural number, all natural numbers are still considered whole numbers. A whole number is any number that doesn't have a remainder, fraction, or decimal, such as 242, 0, or 14, etc.

Your answer is true.

Hope this helped you out! :-)

Simplify the complex expression (3+2i) + (-4+6i)

Answers

(3 + 2i) + (-4 + 6i)

Get rid of the parenthesis.

3 + 2i - 4 + 6i

Note how we got rid of the (+) sign in +(-4). We do this because a negative times a positive is always going to be a negative.

Combine like terms.

(2i + 6i) + (3 - 4)

Simplify.

8i - 1

~Hope I helped!~

The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inches tall. Write an absolute value equation that represents the minimum and maximum heights. Use x to represent the heights.

Answers

24inch[less than and equal to sign]x[less than and equal to sign]92inch

Answer:

An absolute value equation that represents the minimum and maximum heights 24 ≤ x ≤ 92.

Step-by-step explanation:

First we have to know about the middle number. The middle number between 24 and 92 is :

[tex]\frac {(24+92)}{2}= 58.[/tex]

Now positive difference is: 58-24=34 and 92-58=34.

Thus the height of a woman x, can vary at most 34, from 58. That is the height of a woman can be 34 ft less or more than 58.

In absolute value notation this is expressed as:

x-58≤34

what this means is that:

x-58≤34 or 58-x≤34

Further solving the equation gives: |x-58|≤34 ;

24≤x≤92

The average of 80 ,95 ,75 ,60

Answers

310 / 4 = 77.5
average = 77.5

80+95+75+60=310
310÷4= 77.5
answer : 77.5

Answer please, Thanks. More questions coming.

Answers

looks like 6 fl oz to me....

Looking at it, the liquid (ima assume it's water) reaches up to the 6th line. Therefore, it is 6 fl oz.

Trapezoid W′X′Y′Z′ is the image of trapezoid WXYZ under a dilation through point C.

What scale factor was used in the dilation?

−6/5

−5/6

5/6

6/5

Answers

In this, u have to find out what to multiply 18 by to get to 15...

In other words, 18 times what is 15...
18x = 15
x = 15/18
x = 5/6 <== ur scale factor

check it.....18 * 5/6 = 90/6 = 15 (correct)

so ur answer is : 5/6

Answer:

Just took the test and the answer was 5/6

The answer is in the screenshot for future people looking for answers :-)

Evaluate each expression. (1 + 3 + 2) / -2

Answers

So first do the equation in the parenthesis.

1 + 3 + 2 = 6

So the new equation is 6 / -2

Now 6 / -2 is equal to -3.

So your answer is -3.

What is 3/2 on a number line

Answers

<----1---•---2-------3-------4--------5---> = 1 1/2 as a mixed number

The image of number 3/2 is shown in number line is shown in figure.

We have to given that,

Number on a number line,

⇒ 3/2

Now, We can simplify as,

⇒ 3/2

⇒ 1.5

Therefore, A number 1.5 shown in figure.

So, The image of number 3/2 is shown in number line is shown in figure.

Learn more about Number system visit:

https://brainly.com/question/17200227

#SPJ2

A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animanl is faster and by how many miles per hour? There are 5,280 feet in one mile

Answers

the bison runs 3520 feet per minute

convert that to miles per hour

3520/5280 = 2/3 of a mile per minute

2/3 x 60 = 40 miles per hour

the bison runs 10 miles per hour faster

Membership at the Healthy You Gym is a $40 initial fee and $5 a visit. If Snjaya's billl was $105, how many times did he visited the gym?

Answers

40+5x=105
-40 -40
5x=65
5x÷5=x
65÷5=13
×=13
13 visits

What is the factored resulting perfect trinomial for x squared + 14x?

Answers

[tex] x^{2} +14x=x(x+14)[/tex]

a baker orders 162 eggs. each carton contains 18 eggs. which equation can you use to find the number x of cartons? explain your reasoning and sold the equation.

Answers

This is just dividing
So the baker orders 162 eggs and each carton has 18 eggs
so 162 ÷ 18 = 9 cartons
And if you want to check if its correct
9 x 18 = 162 eggs

Final answer:

To solve for the number of cartons the baker needs, divide the total number of eggs by the eggs in each carton. This gives the equation x = 162 ÷ 18. Solve the equation to find that the baker needs 9 cartons.

Explanation:

The subject of this question is mathematics, specifically division. When a baker orders 162 eggs and each carton contains 18 eggs, to find out how many cartons (represented by x) the baker needs, we would need to divide the total number of eggs by the number of eggs in each carton. This gives us the equation:

x = 162 ÷ 18

Solving this equation, we find that x equals 9. Therefore, the baker needs to order 9 cartons of eggs.

Learn more about Division here:

https://brainly.com/question/33969335

#SPJ3

108 centimeters 1.08 meters equation and exponent

Answers

m=cm x10^2 cm=mx10^-2

To convert 108 centimeters to meters, divide by 100, since 100 centimeters equals 1 meter. Thus, 108 cm equals 1.08 meters, and the exponential form of 1.08 is 1.08 x 10⁰.

To convert 108 centimeters to meters, we use the fact that 100 centimeters is equal to 1 meter. If we have 108 centimeters and we want to express that in meters, we divide 108 by 100, since there are 100 centimeters in a meter.

Thus, 108 centimeters is equivalent to 1.08 meters. When we write 1.08 as an exponent, we express it as 1.08 imes 100, because any number to the power of 0 is 1, and thus the exponent does not change the value of 1.08.

what operation should be performed SECOND to solve this problem?
The Johnson family can fly from Washington DC to to London for $18 per mile per person the distance is 3,663 miles. how much will the trip cost if four people go?

A subtraction

B multiplication

C division

D addition

Answers

answer
B multiplication

hope it helps

Solve each literal equation for 'K'.
a) T=4K/M b) bm-Kn=14

Answers

a) T = 4K / M

1) multiply both sides by M => TM = 4K

2) divide both sides by 4 => K = TM / 4

Answer: K = TM / 4

b) bm - Kn = 14

1) add Kn to both sides => bm = 14 + Kn

2) subtract 14 from both sides => bm - 14 = Kn

3) divide both terms by n => K = [bm - 14] / n

Answer: K = [bm - 14] / n

FCD=x+41, BCF=x+78, BCD=95. Find x

Answers

To find x in a geometry problem involving angle measures BCD, BCF, and FCD.

The given information:

- B = 77.08795270

- C₁ = -7.062084 257

- D₁ = -0.6291204730 E₁ -14.17590540 F₁-62.91204730

Step-by-step solution:

Express BCD as a combination of the other angles: BCD = BCF + FCD. Substitute the given values: 95 = (x + 78) + (x + 41).

Simplify the equation: 95 = 2x + 119.

Solve for x: 2x = 95 - 119 = -24, x = -12.

Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle.

Answers

First, remember that an iscribed angle is an angle, call it α, made from three points on the circumference of the circle.

The inscribed angle theorem states that the inscribed angle (α) is half of the central angle (2α).

Inscribe a triangle in a semicircle, and you will see that you will have made up the central angle 180°. So the , by the inscribed angle theorem the inscribed angle is half of 180° which is 180°/2 = 90°.

So, always the inscribed angle in a semicircles is 90° which is what a right angle is.

Answer:

Sample Response: A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.

Step-by-step explanation:

THIS IS CORRECT I GOT IT RIGHT

Solve 5v2+25=115 , where v is a real number

Answers

5v^2 + 25 = 115
5v^2 = 115 - 25
5v^2 = 90
v^2 = 90/5
v^2 = 18...take the square root of both sides eliminating the ^2
v = (+-) sqrt 18

v = 4.24 or v = -4.24

Can be + or - , as V will be squared. When any -ve number is squared, it will become positive.

All birds have wings. A bat has wings, so it is a bird. What type of reasoning is this? inductive
deductive

Answers

I think its Deductive xx

Choose true or false. to convert 5 square meters to square yards, multiply 5 by 1.196.
a. True
b. False

Answers

The answer to your question is true, multiply 5 by 1.196 to convert square meters into square yards

Which is the line shown in the figure?

Answers

Isn't it line XZ because those are the points on the line.

line XZ is shown in the photo

Which equation applies the associative property of multiplication? −65−(53−14)=(−65−53)−14 (−12⋅47)+(−12⋅23)=−12⋅(47+23) 89⋅74⋅(−58)=89⋅(−58)⋅74 (−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57

Answers

Your answer is (A) -65-(53-14)=(-65-53)-14 because associative property is just switching parenthesis around.
Hope i helped!

Answer:

The ansewer is D. I just took the test. Happy Holidays!

Step-by-step explanation:

Which improper fraction is equal to the mixed number 4 7/9 ?

Answers

43/9 You first multiply the 4 times 9 to get 36 then you add 7 to get 43.

An improper fraction is when the numerator is greater than the denominator.

4 7/9 = (9*4 + 7)/9 = 43/9. Then

4 7/9 = 43/9

Other Questions

Nando es _____ alumno muy ambicioso Monitors are divided into a matrix of small dots called ____. which of the connotation of the word dogA.MuttB.Four-legged mammalC.CanineD.Related to wolf In a paragraph response of about 150-250 words, answer the following question.Why is it important to use textual evidence to support your answers in a discussion? What is the solution to the following system of linear equations?{4x - y = -6{x - 2y = -5Please explain how you solved! What does 75,254 round up to of the 7 is underlined? you are ordering pizzas for a birthday party and getting them delivered to your house. You order 12 pepporoni pizzas, 8 cheese pizzas, and 4 hawaiian pizzas. There is a delivery fee of $5.50. If your total comes to $184.54, how much was each pizza? Assume that every pizza was the same amount. Why is it important to consider the source of health information? Justify your response in two or more complete sentences. Choose the correct sentence.A. Not all mouse traps are designed to kill mice, some merely trap them.B. Not all mouse traps are designed to kill mice some merely trap them.C. Not all mouse traps are designed to kill mice; some merely trap them.D. Not all mouse traps are designed to kill mice: some merely trap themP.S. its not A Living or non living 1.fire2.cloud3.feather4.egg5.molecule6.sun Adding energy or increasing the speed of the particles at very low pressure in a solid would cause A) boiling. B) condensation. C) melting. D) sublimation. What are the two square roots of 400 What is 24/42 in the simplest form? What were the syncopated piano compositions that were popular in the 1890s called? If g(x) =5x-3 and h(x) = sqrt x find (goh) (4) The leader of a bicycle race is traveling with a constant velocity of +12.60 m/s and is 11.4 m ahead of the second-place cyclist. the second-place cyclist has a velocity of +9.20 m/s and an acceleration of +1.50 m/s2. how much time elapses before he catches the leader? Anyone with the money can purchase shares of coca-cola's stock. this makes coca-cola a(n) ____ corporation. a polygon with four sides is a quadrilateral, write this statement in if-then format Which expression represents this word phrase? seven less than the quotient of x and 9 x7 9 x 9 7 (x9)7 (9x)7 The stage in the development of a science when it is still divided into schools of thought is called ____. Steam Workshop Downloader