f(x) = x3 − 9x

g(x) = x2 − 2x − 3

Which expression is equivalent to f(x)/g(x), for x > 3?

A. 1/x+1
B.x+3/x+1
C. x(x-3)/x+1
D. x(x+3)/x+1

I was thinking it was C because it was the closest to what I got but I don't wanna be wrong help pleaseee.

2 answers

f/g = (x^3-9x) / (x^2-2x-3) = x(x-3)(x+3) / (x-3)(x+1)
= x(x+3)/(x+1) for all x≠3
Thank You oobleck! Correct 💙