### Home > PC > Chapter 1 > Lesson 1.1.3 > Problem1-36

1-36.

Let $f\left(x\right) = 3x^{3} + 7$and $g\left(x\right) = x^{2} − 1$. Find and simplify the following function operations.

1. $\left(f − g\right)\left(x\right)$

What does the notation mean?

Subtract the g function from the f function.

$3x^{3} + 7 − \left(x^{2} − 1\right)$

$3x^{3} + 7 − x^{2} + 1$

$3x^{3} − x^{2} + 8$

1. $\frac { f ( x ) } { g ( x ) }$

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

$\frac{3x^{3} + 7}{x^{2} - 1}, x \not\equiv \pm 1$

1. $fg$

Multiply the two functions.