CPM Homework Help : INT2 Problem 10-42

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Home > INT2 > Chapter 10 > Lesson 10.1.3 > Problem 10-42

10-42.

For each function, determine an equation for the inverse function.

Hint:

See problem 9-132 for additional help.

$f(x) =\frac { x } { 3 }- 2$
Step 1(a):
List the steps for this function.
1) Divide by $3$ .
2) Subtract $2$ .
Step 2(a):
Change each step to its inverse operation.
1) Multiply by $3$ .
2) Add $2$ .
Step 3(a):
Reverse the order of the steps.
1) Add $2$ .
2) Multiply by $3$ .
Step 4(a):
Write an inverse equation for the new steps.
Answer (a):
$f^{ -1}(x) = 3(x + 2)$

$g(x) =\frac { 1 } { 2 }x + 5$
Hint (b):
Follow the steps in part (a).

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