Question

Given the parent functions f(x) = log2 (3x − 9) and g(x) = log2 (x − 3), what is f(x) − g(x)? (2 points)

Answer 1

`f(x) =log_(2)(3x-9) \\ \\g(x)=log_(2)(x-3) \\ \\ f(x) - g(x) = log_(2)(3x-9)-log_(2)(x-3)= log_(2) (3x-9)/(x-3)= \\ \\ = log_(2) (3(x-3))/(x-3) = log_(2)3 \\ \\ f(x) - g(x) = log_(2)3`