### Home > PC > Chapter 1 > Lesson 1.1.3 > Problem 1-37

1-37.

Find the inverse of each function below. Use correct notation to express your answer. Homework Help ✎

*f*(*x*) = 3*x*^{3}− 5*g*(*x*) =*h*(*x*) =x ^{2}− 2

Substitute *y* for the function notation.

Switch every x to y and every y to x.

Solve for y.

Add 5 to both sides:

Divide both sides by 3.

Take the cube root of both sides:

*y* = 3*x*^{3} − 5

*x* = 3*y*^{3} − 5

Answer (a):

Follow the same procedure for (a).

Follow the same procedure for (a).