If f(x) = x-1/3 and g(x) = 3x+1 , what is the domain of (f*g)(x) ?

Answers

Answer 1

Answer:

-∞ < x < ∞

Set of all integers

Step-by-step explanation:

Given in the question two functions

f(x) = [tex]x^{\frac{1}{3} }[/tex]  = ∛x

g(x) = 3x + 1

(f*g)(x)

f(g(x))

∛(3x+1)

Domain of (f*g)(x)

In function ∛(3x+1) , variable x can be any integer.

so, the domain is set of all integers

-∞ < x < ∞


Related Questions

Which are the independent events? Check all that apply

Answers

Answer:

Independent events are those that do not depend on others. Two entities does not depend on each other. The change in one entity does not change the other.

So, independent events here are-

1. rolling a number cube twice.

2. flipping a coin 4 times.

3. choosing a meal combination.

Rest two options are dependent on each other.

Answer:ACD

Step-by-step explanation:

Edgy

Solve: 2(x - 4) = 4(2x + 1)

Answers

Answer:

x=-2

Step-by-step explanation:

2(x - 4) = 4(2x + 1)

Distribute

2x -8 = 8x+4

Subtract 2x from each side

2x-2x-8 = 8x-2x+4

-8 = 6x+4

Subtract 4 from each side

-8-4 = 6x+4-4

-12 = 6x

Divide by 6

-12/6 = 6x/6

-2 =x

What is the value of the expression below? (3 1/2 - 9 3/4) divided (-2.5)

Answers

Answer:Exact form: 5/2

Decimal form: 2.5

Mixed number form: 2 1/2  

Hope this helps:)

Step-by-step explanation:

ALGEBRA 2 HELP ASAP PLZ

Answers

Answer:

Step-by-step explanation:

binomial

Answer:

polynomial

Step-by-step explanation:

A monomial has only 1 term ( mono - 1 )

A binomial has 2 terms ( bi - 2 )

A trinomial has 3 terms ( tri - 3 )

7x³ + 2x² - 9x + 1 ← has 4 terms and is a polynomial

2.
If a mouse eats grass seeds, the mouse is a _____.

producer

herbivore

decomposer

carnivore

Answers

Answer:

Herbivore

Step-by-step explanation:

The mouse isnt a producer because he cannot make his own food

The mouse isnt a carnivore because he isnt eating meat

The mouse isnt a decomposer because he isnt breaking down dead or decaying organisms

Herbivores are animals that eat vegetables or greens/plants but not meat.

Answer:

herbivore

Step-by-step explanation:

PLEASE HELP WITH THE QUESTION BELOW ASAP!! THANKS SO MUCH!

Answers

Answer:

y = 6x - 40

Step-by-step explanation:

8n = 56 help me solve n ???

Answers

Hello There!

8n =56

Remember when a variable is next to a number that means multiply so we know that multiply 8 by some number is equal to 56.

Using our multiplication facts.

8*7=56

So that means N = 7

Answer:

7

Step-by-step explanation:

Divide each term by 8 and simplify

Different groups of 50 graduates engineering were ask the starting annual salary of their first entering job after graduation, and the sampling variability was low. If the average salary of one of the groups was $53,000, which Of these is least likely to be the average salary of another of the groups? A- $54,000 B- $53,000 C- $55,000 D- $41,000

Answers

Answer:$41,000

Step-by-step explanation:

Answer:

least likely option comes out to be option D.

Step-by-step explanation:

correct answer is option D.

As in the question it is given that the average salary of one group is  $53,000.

and,

it is also stated that the  sampling variability is very low which means the deviation from the mean will be very low .

when look at the options all the option A , B , C  are very much closer to $53,000 and the only option left is $41,000 which is very much deviated

hence,the least likely option comes out to be option D.

It’s possible to build with side lengths 3,3,9

Answers

NO!

3+3 > 9

This does not form a triangle.

PLEASE HELP!!
Find the exact circumference of the circle.

Answers

Answer:

B

Step-by-step explanation:

Select one of the factors of the quadratic expression.

x2 + 5x - 14

Answers

Answer:

(x + 7) or (x - 2)

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2, since

7 × - 2 = - 14 and 7 - 2 = + 5, hence

x² + 5x - 14 = (x + 7)(x - 2)

the sum of three numbers is 63. The first number is twice the second number, and the third number is three times the first number. Set these numbers​

Answers

Answer:

Step-by-step explanation:

2x+x+3(2x)=63

3x+6x=63

9x=63

9x/9=63/9

X=7

2x=14

3(2x)=42

PLEASE HELP 10 POINTS

Answers

Answer:

x=7*64/80

x=5.6

Step-by-step explanation:

Let x represent miles would she run in 64 minutes?

Question Sets Up the Proportion

70/80=x/64     |Cross Multiplying to solve for x

     x = 7*64/80

     x = 5.6mi

Answer:

He would run 5 miles. If you divide 80 by 7, it would equal 11. Meaning subtract 11 for every mile. To get to 64 subtract 11 twice. That leaves 58. 58 would be 5 miles. 11+11+11+11+11 is 55. 3 more minutes and its 58. Our total is 5 miles.

Hope this helped. Have a good day. :D

Also let me know if you need more help.

Step-by-step explanation:

What is the value of b in this diagam?

Answers

Answer:

b = 8

Step-by-step explanation:

Given  : A triangle with side a= 12 , b = 6.33 and angles.

To find : What is the value of b in this diagam.

Solution : We have given that side a= 12 , b = 6.33

Angle A = 113.17

Angle B = 37.81 .

By the sin law: [tex]\frac{b}{sin B} =\frac{a}{sin A}[/tex].

[tex]\frac{b}{sin( 37.81)} =\frac{12}{sin( 113.17)}[/tex].

[tex]\frac{b}{0.613} =\frac{12}{0.919}[/tex].

On cross multiplication

b * 0.919 = 12 * 0.613 .

b * 0.919 = 7 .356

On dividing by 0.919

b = 8.004

Therefore, b = 8.

Answer:

B=8

Step-by-step explanation:

Ms. Alvarez has $1482 to spend on origami paper. how many packs can she buy

Answers

a certain amount of paper

Andrew wrote the number 186425,on the board in which number is the value of the digit 6 exactly 10 times of the value digit 6 in the number Andrew wrote?

A. 681,452
B. 462,017
C. 246,412
D. 125,655

Answers

Answer:

B

Step-by-step explanation:

The digit 6 in Andrew's number is worth 10 times less than the digit six in the other number. This means that the six will be shifted over one place to the left. The only number with a 6 in that position is B, 462,017.

It's B that's correct.

In 186425, the 6 is 6 thousands or 6000

Twice that amount has to be a digit in the ten thousands place.

When you check the choices, you'll see that the number 462, 017 is exactly 10 times of the value digit 6 of Andrew's number

Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?

Answers

ANSWER

a=9

EXPLANATION

The given quadratic equation is

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

If x=1 is a solution, then it must satisfy this equation:

[tex]{(1 + 2)}^{2} = a[/tex]

[tex] {3}^{2} = a[/tex]

[tex]a = 9[/tex]

Therefore the value of 'a' is 9

Answer:

answer is A

Step-by-step explanation:

What is the input value for the following function if the output value is 5? y = x - 3

Answers

The input value is the x value, and the output value is the y value.

You know y = 5, so you can plug it into the function to find the input:

y = x - 3         Plug in 5 for y

5 = x - 3      Add 3 on both sides

5 + 3 = x - 3 + 3

8 = x

Answer:

8

Step-by-step explanation:

y= x -3

to get the Anwer I got i Subtracted

Because the output value is supposed to be five so?

5= x-3

Well  2 does get 5 if you add 2+ 3 together!

but if you subtract 3 -2 you get 1..

and 5 - 3 = 2 not 5

and adding 8 + 3 is 11 but subtracting it is 5!

which is

5= 8 - 3

please answer ASAP! will give brainlist.

If line S and line T are parallel lines cut by transversal line R, what is the value of X?

A. X = 12
B. X = 18
C. X cannot be determined from the information given.
D. X = 33

Answers

Answer:

B

Step-by-step explanation:

120+4x-12=180, 4x+108=180,4x=72, x=18

4x-12=120

4x-12+12= 120+12

4x= 132

divide by 4 for 4x and 132

4x/4= 132/4

x= 33

check answer by using substitution method

4x-12=120

4(33)-12= 120

132-12= 120

120= 120

Answer is x= 33 (D.)

Find the zeros for (x+2)(x-4)

Answers

Answer:

x = -2 or x = 4

Step-by-step explanation:

The zeros:

(x + 2)(x - 4) = 0 ⇔ x + 2 = 0 or x - 4 = 0

x + 2 = 0          subtract 2 from both sides

x = -2

x - 4 = 0          add 4 to both sides

x = 4

Can someone help me please

Answers

Answer:

AD||BC

Step-by-step explanation:

Given:

m∠3=m∠B

And if a traversal cuts two lines such that the corresponding angles are equal then the lines are parallel

Hence the lines AD and BC are parallel

AD||BC !

What is the value of x, when 3x^2=18 3/4?

Multiple choice is up above. I promise to mark brainlest!!

Answers

Answer:

Option B is correct

Step-by-step explanation:

We need to solve the equation 3x^2 = 18 3/4 to find the value of x

3x^2 = 18 3/4

Converting mixed fraction into fraction form

3x^2 = 75/4

Dividing both sides by 3

3x^2/3 = 75/4*3

x^2 = 75/12 (dividing numerator and denominator by 3 which is common factor)

x^2 = 25/4

Taking square root on both sides to find value of x

√x^2 = √25/4

x = ± 5/2

x = ± 2 1/2

So, Option B is correct.

Given that (9,-8) is on the graph of f(x), find the corresponding point for the function f(3/4x)

Answers

Answer:

The corresponding point for the function f(3/4 x) is (12 , -8)

Step-by-step explanation:

* Lets revise the horizontal stretch or compress

- A horizontal stretching is the stretching of the graph away from

 the y-axis

- A horizontal compression is the squeezing of the graph toward

 the y-axis.

# if k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally

 compressed by dividing each of its x-coordinates by k.

# if 0 < k < 1 (a fraction), the graph y = f(k·x) is the graph of f(x)

  horizontally stretched by dividing each of its x-coordinates by k.

* Now lets solve the problem

- The function f(x) will be the function f(3/4 x)

∵ The x multiplied by a constant

∴ f(x) stretched or compressed horizontally

∵ f(x) ⇒ f(k · x)

∵ f(x) ⇒ f(3/4 x)

∴ k = 3/4 ⇒ less than 1

∵ 0 < k < 1

∴ f(x) starched horizontally

∴ Divide each of its x-coordinates by k

∵ k = 3/4

∴ Divide each of its x-coordinates by 3/4

∵ Point (9 , -8) is on the graph of f(x)

- Find the corresponding point on the graph f(3/4 x) by dividing

 x-coordinate by 3/4

∵ x = 9

∴ The corresponding x = 9 ÷ 3/4 = 9 × 4/3 = 36/3 = 12

∴ The corresponding point is (12 , -8)

A parabola is the set of all points that ?

Answers

In a plane such that the distance from these points to a fixed point

Answer:

A parabola is the set of all points in the plane equidistant from a given line and a given point not on the line.

A parabola is the set of all points in the plane equidistant from directrix and focus.

Step-by-step explanation:

A parabola is the set of all points in the plane equidistant from a given line and a given point not on the line.

The line is called directrix and the point is called focus.

So a parabola is the set of all points in the plane equidistant from directrix and focus.

Write the expression using a single exponent 2^2•2^8
A.4^10
B.2^10
C.4^16
D.2^16
i think it’s B but i’m not for sure

Answers

I think it’s C. 4^16,

The graph shows the total cost (y) of producing x motorbike engines.



Complete the following sentences based on the graph.

The equation of the line is y = .

The total cost of producing 50 engines is .
option 1
0.2x+2
0.25x+2
0.4x+2
1.2x+2

option 2
$12,250
$14,750
$14,500
$15,000

Answers

Answer:

1) Second option:  [tex]y=0.25x+2[/tex]

2) Third option: $14,500

Step-by-step explanation:

1) The equation of the line in Slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

You know the point (20,7) of the line and you can observe in the graph that the y-intercept is:

[tex]b=2[/tex]

Then, you can substitute these values into the equation  [tex]y=mx+b[/tex]

and solve for the slope "m":

[tex]7=m(20)+2\\\\7-2=20m\\\\m=\frac{5}{20}\\\\m=0.25[/tex]

Therefore, the equation of this line is:

[tex]y=0.25x+2[/tex]

2) To calculate the total cost of producing 50 engines, you need to substitute [tex]x=50[/tex] into the equation of the line  [tex]y=0.25x+2[/tex]. Then you get:

 [tex]y=0.25(50)+2[/tex]

 [tex]y=0.25x+2[/tex]

 [tex]y=14.5[/tex]

Since the y-axis represents the total cost "y" in thousands of dollar, then the total cost of producing 50 engines is:

$14,500

The average number of people at a concert over 3 nights is 125. On the first night, there were 151 people at the concert. The same number of people attended the second and third night. How many people attended on each of the second and third nights?​

Answers

Answer:

164 people

Step-by-step explanation:

Let's say x = # of people in night 2 and 3

Average = (n₁ + n₂ + n₃ + ...)/n

Plug in known numbers: (125 + x + x)/3 = 151

Multiply + simplify: 125 + 2x = 453

Subtract: 2x = 328

Divide: x = 164

Final answer:

To determine the number of people who attended the concert on the second and third nights, an equation based on the average attendance was formulated and solved, resulting in 112 people attending each of those nights.

Explanation:

To solve this problem, we need to find out how many people attended the concert on the second and third nights. Since we know the average number of people for the 3 nights was 125 and there were 151 people on the first night, we can set up an equation to find the number attending on the other nights.

Let the number of people who attended on the second and third nights be x each. The total number of people over the three nights is then 151 + x + x (since the same number of people attended the second and third nights). To find this number, we multiply the average number of people (125) by the number of nights (3).

We get the equation:
125 * 3 = 151 + x + x
375 = 151 + 2x
375 - 151 = 2x
224 = 2x
x = 112

Thus, 112 people attended the concert on each of the second and third nights.

Choose the right answer which year had higher profit in month 3 ?

Answers

Answer:

Where is month 3 I will comment the answer if there is a graph or table to know!!! For house for economics. Sorry I don't understand...

Step-by-step explanation:

Answer:

Last year

Step-by-step explanation:

The question is:

Which year had a decrease in profit between months 3 and 4?

The answer is last year

I hope this helps!

what does one centimeter equal

Answers

[tex]1\text{cm}=1\cdot10^{-2}\text{m}=10^{-2}\text{m}[/tex]

Answer:

Step-by-step explanation:

1 cm = 10 mm = 0.01 m = 0.00001 km

Find the value of c .
5/2 = c/22
c = ___.

Answers

Answer:

c = 55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

I did this and it was correct please vote me as brainlies!

Hope this helped! :)

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