CPM Homework Help : CALC Problem 1-89

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Home > CALC > Chapter 1 > Lesson 1.2.5 > Problem 1-89

1-89.

If $f(x) = x^2 + 5$ and $g(x) = x + 3$ , find and simplify the expressions below.

$f(g(x))$
Hint (a):
$f(g(x)) = f(x + 3) =$ ______________

$g(f(x))$
Hint (b):
Refer to hint (a).

$f^{-1}(-6)$
Hint (c):
Even though $f^{-1}(x)$ is the inverse of $f(x)$ , you do not need to find the equation of the inverse. Simply evaluate $6$ as the $y$ -value and solve for $x$ .
Answer (c):
$6 = f(x)$
$6 = x^2 + 5$
$1 = x^2$
$x = ± 1$

$g^{-1}(-6)$
Hint (d):
Refer to hint (c).

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