### Home > PC3 > Chapter 7 > Lesson 7.1.1 > Problem7-12

7-12.

What is the inverse for each of the following equations?

1. $f(x)=\sqrt[3]{3x-5}$

1. Change $f(x)$ to $y$.

2. Switch the $y$'s to $x$'s and the $x$s to $y$'s.

3. Solve for $y$.

2. $g(x)=\frac{2x-1}{3-x}$

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 $y$.

3. $h(x)=\log_3(x-1)$

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 $y$.