Question

The function f(x)=log4x is dilated to become g(x)=f(13x).
What is the effect on f(x)?

Answer 1

f(x) is compressed horizontally

Explanation:

Given

`f(x) = \log(4x)`

`g(x) = f(13x)`

Required

The effect on f(x)

`g(x) = f(13x)` implies that f(x) is horizontally compressed by 13.

So, we have:

`f(13) = \log(4 * 13x)`

`f(13) = \log(52x)`

So:

`g(13) = \log(52x)`