### Home > PC > Chapter 1 > Lesson 1.1.3 > Problem 1-36

1-36.

Let

*f*(*x*) = 3*x*^{3}+ 7 and*g*(*x*) =*x*^{2}− 1. Find and simplify the following function operations. Homework Help ✎(

*f*−*g*)(*x*)*fg*

What does the notation mean?

Subtract the *g* function from the *f* function.

3*x*^{3} + 7 − (*x*^{2} − 1)

3*x*^{3} + 7 − *x*^{2} + 1

3*x*^{3} − *x*^{2} + 8

Set up the division problem. Be sure you do not have a division by zero problem.

Multiply the two functions.