Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What is (f/g)(x) ?

Answer 1

Answer:
`\bold{D.\ (x+4)/(x)\ where\ x \\eq 0, (2)/(3)}`

Explanation:

f(x) = 3x² + 10x - 8

g(x) = 3x² - 2x

`(f(x))/(g(x))=(3x^2+10x-8)/(3x^2-2x)=((3x-2)(x+4))/(x(3x-2))=(x+4)/(x)`

Restriction on x: the denominator cannot be equal to zero. So,

x(3x - 2) ≠ 0

→ x ≠ 0 and 3x - 2 ≠ 0

3x ≠ 2

x
`\\eq (2)/(3)`