Composition of Functions

Practice Questions

Pre-Calculus › Composition of Functions

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1

Find given

and

2

and . Find $(f\circ g)(x)$ .

3

Find if and .

4

Given $f(x)=\sqrt{x-2}$ and $g(x)=x^2-2\sqrt{x}$ , find $(g\circ f)(x)$ .

5

Given and find .

6

If , , and , what is ?

7

Find given the following.

8

Find given the following functions:

9

$g(x)=\frac{3x^2}{x}-6$

What is ?

10

Given and , find .

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