CPM Homework Help : PC3 Problem 2-68

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Home > PC3 > Chapter 2 > Lesson 2.2.2 > Problem 2-68

2-68.

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

$(f-g)\left(x\right)$
Hint (a):
What does the notation mean?
More Help (a):
Subtract the $g$ function from the $f$ function.
Answer (a):
$3x^3+7−(x^2−1)$
$3x^3+7−x^2+1$
$3x^3−x^2+8$

$\frac { f ( x ) } { g ( x ) }$
Hint (b):
Set up the division problem. Be sure you do not have division by zero.
Answer (b):
$\frac{3x^{3} + 7}{x^{2} - 1}, x \neq \pm 1$

$(f·g)(x)$
Hint (c):
Multiply the two functions.

$g(f(x))$

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