CPM Homework Help : PC3 Problem 7-12

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Home > PC3 > Chapter 7 > Lesson 7.1.1 > Problem 7-12

7-12.

What is the inverse for each of the following equations?

$f(x)=\sqrt[3]{3x-5}$
Hint (a):
1. Change $f(x)$ to $y$ .
2. Switch the $y$ 's to $x$ 's and the $x$ s to $y$ 's.
3. Solve for $y$ .

$g(x)=\frac{2x-1}{3-x}$
Hint (b):
1. Follow the same procedure for (a).
2. When solving for $y$ , move all terms with a $y$ to one side and the rest of the terms on the other side.
3. Then factor out a $y$ .

$h(x)=\log_3(x-1)$
Hint (c):
1. Change $f(x)$ to $y$ .
2. Switch the $y$ 's to $x$ 's and the $x$ 's to $y$ 's.
3. Rewrite the equation in exponential form.
4. Solve for $y$ .

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