### Home > PC3 > Chapter 2 > Lesson 2.2.2 > Problem2-68

2-68.

​​Let $f(x) = 3x^3 + 7$ and $g(x)=x^2-1$. Write an equation for each of the following function operations.

1. $(f-g)\left(x\right)$

What does the notation mean?

Subtract the $g$ function from the $f$ function.

$3x^3+7−(x^2−1)$

$3x^3+7−x^2+1$

$3x^3−x^2+8$

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

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

$\frac{3x^{3} + 7}{x^{2} - 1}, x \neq \pm 1$

1. $(f·g)(x)$

Multiply the two functions.

1. $g(f(x))$