CPM Homework Help : PC3 Problem 1-114

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1-114.

Given $f(x)=x^2+1$ , $g(x)=2x-8$ , and $h(x)=\frac{1}{2}x+1$ . Write an equation for each of the following operations.

Hint:

Be sure to show all steps leading to the answer.

$f(x)+g(x)$
Step (a):
$f(x)+g(x)=x^2+1+2x-8$

$g(x)h(x)$
Step (b):
$g(x)h(x)=(2x-8)\Big(\frac{1}{2}x+1\Big)$

$g(h(x))$
Step (c):
$g(h(x))=g\Big(\frac{1}{2}x+1\Big)$

$f(f(x))$
Step (d):
$f(f(x))=f(x^2+1)$

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