CPM Homework Help : PCT Problem 1-36

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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.

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

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

$fg$
Hint (c):
Multiply the two functions.

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