CPM Homework Help : INT3 Problem 5-84

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5-84.

Given $f(x) = -2x^2 - 4$ and $g(x) = 5x + 3$ :

What is $f(–7)$ ?
Step (a):
$f(-7)=-2(-7)^2-4$

What is $g(–2)$ ?
Hint (b):
Refer to the step in part (a).

If $f(x) = c$ , what is $x$ ?
Hint (c):
First, set the function equal to $c$ . Then solve for $x$ .
Answer (c):
$x\ =\ \sqrt{\frac{c+4}{-2}}$

If $g(x) = c$ , what is $x$ ?
Hint (d):
Refer to part (c). Follow the same process.

Write an equation for $g^{–1}(x)$ .
Hint (e):
How can you undo multiplying by $5$ and adding $3$ ?

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