Question

If f(x)=x^2-81 and g(x)=(x-9)^-1(x 9), find g(x) * f(x)

Answer 1

The answer choices are
A) (x+9)^2
B) (x-9)^2
C) 2(x+9)
D) (x+9)(x-9) So the answer would be A

Answer 2

Hello,

if x≠9 then

$f(x)=x^2-81\\\\ g(x)= \frac{x+9}{x-9} \\\\ g(x)*f(x)= \dfrac{(x-9)(x+9)(x+9)}{x-9} =(x+9)^2=x^2+18x+81$