CPM Homework Help : PC3 Problem 8-104

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8-104.

Graph each of the following functions.

$f(x)=\log_4\left(x+3\right)-2$
Hint (a):
Rewrite the equation in exponential form.
Then make a table, choosing the $y$ -values and then calculating the $x$ -values.
Step (a):
$y+2=\log_4(x+3)$

$g(x)=4^{x+2}-3$
Hint (b):
This is exponential growth. The curve is shifted $2$ units left and $3$ units down.

What do you notice about the functions in parts (a) and (b)? Use composition of functions to justify your conclusion.

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