CPM Homework Help : INT3 Problem 5-26

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5-26.

Write the equation of the inverse for each of the following functions.

$f(x) = 3x - 8$
Hint (a):
This function multiplies by $3$ then subtracts $8$ . How can these operations be undone?
Step 1(a):
Add $8$ $f^{-1}(x) = x+8$
Step 2(a):
Divide by $3$ $f^{-1}(x)=\frac{x + 8}{3}$

$f(x) = \frac { 1 } { 2 }x + 6$
Answer (b):
$f^{ −1}(x) = 2(x − 6)$ or
$f ^{−1}(x) = 2x − 12$

$f ( x ) = \frac { x + 6 } { 2 }$
Answer (c):
$f^{ −1}(x) = 2x − 6$

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