Question

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

Answer 1

Hello,

if x≠9 then


`f(x)=x^2-81\\\\ g(x)= (x+9)/(x-9) \\\\ g(x)*f(x)= ((x-9)(x+9)(x+9))/(x-9) =(x+9)^2=x^2+18x+81`

Answer 2

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