Let f(x) = 3x + 5 and g(x) = 3x2 - x - 10
Find (f/g)•(x) and state its domain

B

Step-by-step explanation:

To find (f/g)(x), you have to divide f(x) by g(x).  To make division easier, factor out the equations given as much as possible.

f(x) = 3x + 5               Factored

g(x) = 3x² - x - 10

g(x) = (3x + 5)(x - 2)   Factored

Divide the two equations.

The denominator of a fraction can never be zero.  It can be positive and negative numbers, but not zero.  Since the x is in the denominator, the domain cannot include a number that causes the denominator to be zero.  The number that would cause x to be zero is 2, meaning that it can not be included in the domain.

x - 2 ≠ 0

(x - 2) + 2 ≠ 0 + 2

x ≠ 2

This means that the answer is B.

c

step-by-step explanation:

$649.60

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