### Home > INT3 > Chapter 7 > Lesson 7.1.4 > Problem 7-48

7-48.

What is the inverse of each of the functions below? Write your answers using function notation.

Let

, switch theand thein the equation and solve for.

See part (a).

Let

. Switchand. Multiply both sides of the equation byto remove the fraction. Distribute and then rewrite the equation so that all the

-terms are on the left side and everything else is on the right side.Your equation should look like this:

. Factor the left side of the equation and divide both sides byto get by itself.Graph the equation on a graphing calculator to see why this equation is its own inverse.

See part (a).