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

f(x) − g(x) = log2 (2x − 6)

f(x) − g(x) = log2 (2x − 12)

f(x) − g(x) = log2 one third

f(x) − g(x) = log2 3

Question

Given the parent functions f(x) = log2 (3x − 9) and g(x) = log2 (x − 3), what is f(x) − g(x)?

f(x) − g(x) = log2 (2x − 6)

f(x) − g(x) = log2 (2x − 12)

f(x) − g(x) = log2 one third

f(x) − g(x) = log2 3

anonymous · Answer

I'll get you started. You'll want to distribute the log(2) in each of the functions. Once you do that, you can easily subtract g(x) from f(x).