Question
Asked Dec 7, 2019
6 views
For f(x) = x and g(x) =x +7, find the following composite functions and state the domain of each.
%3!
(c) fof
(b) gof
(d) gog
(a) fog
help_outline

Image Transcriptionclose

For f(x) = x and g(x) =x +7, find the following composite functions and state the domain of each. %3! (c) fof (b) gof (d) gog (a) fog

fullscreen
check_circle

Expert Answer

Step 1

Find the  composite functions and state the domain of each

F(x)= x2

G(x)= x2+7

  1. Fog
  2. Gof
  3. Fof
  4. Gog
Step 2

Fog for the function

help_outline

Image Transcriptionclose

f(x)=x² g(x)=x² + 7 fog = f (g(x)) = fog = f (x +7) = fog = (x² +7) fog =x* +49+14x² Domain=(-x,oc)

fullscreen
Step 3

Gof for the fu...

help_outline

Image Transcriptionclose

f(x)=x g(x)=x²+7 gof = g(f (x)) = gof = (x³)* +7 gof = x +7 Domain=(-c, c)

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other

Related Algebra Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Simplify the expressions and write answers with positive exponent's only. Negative Exponents are not...

A: the given expression can be rewritten in the more specific form as.

question_answer

Q: Given f(x) = 2x2 − 3 and g(x) = −2x + 4, find the following. f(2) − g(2)

A: Given:

question_answer

Q: I only need help with question 5

A: Given an equation

question_answer

Q: A motorboat takes 3 hours to travel 108 miles going upstream. The return trip takes 2 hours going do...

A: Let x be the speed of a motorboat in still water and y be the current rate.

question_answer

Q: Find the twenty-eighth positive multiple of 4 and the sum of the first twenty-eight positive multipl...

A: To calculate the twenty-eighth positive multiple of 4 and the sum of the first twenty-eight positive...

question_answer

Q: Find the equation of the circle with radius 1 and center (−4, −1).

A: Find the equation of the circle with radius 1 and center(−4, −1). 

question_answer

Q: A rectangle is drawn so the width is 3 inches longer than the height. If the rectangle's diagonal me...

A: Let x be the height of the rectangle.Then, width is x + 3The diagonal measurement of the rectangle i...

question_answer

Q: A ball is thrown vertically upward from the ground with an initial velocity of 115 ft/sec. Use h=-16...

A: Click to see the answer

question_answer

Q: is one-to-one. 4+x The function f(x) = (a) Find its inverse and check your answer. (b) Find the doma...

A: The given function f(x) is one-to-one.Consider y = f(x)