Question

If `f(x)=x^2-81` and `g(x)=(x-9)^-1(x+9)`, how do you find `g(x)timesf(x)`?

Answer 1

`g(x) xx f(x) = ( x + 9)^2`

Explanation:

`g(x) xx f(x) = x^2 - 81 xx (x + 9)/(x - 9)`

`= ((x + 9)(x - 9)(x+ 9))/(x- 9)`

`=(x + 9)(x + 9)`

`=(x + 9)^2`

Hopefully this helps!