CPM Homework Help : PC Problem 9-45

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9-45.

Given $f(x)=10x^2$ and $g(x)=15-3x$ , find the following

$f(3+h)-90$
Hint (a):
Substitute $(3+h)$ for every ' $x$ ' in the ' $f$ ' function, then subtract $90$ . Simplify.

$f(x+h)-10x^2$
Step (b):
$10(x+h)^2-10x^2$

$g(20+h)$
Hint (c):
Substitute $(20+h)$ for every ' $x$ ' in the ' $g$ ' function. Simplify.

$f(g(x))$
Hint (d):
Substitute $(15-3x)$ for every ' $x$ ' in the ' $f$ ' function. Simplify.
Step (d):
$10(15-3x)^2$

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