Question

The function f(x) = log2 x is transformed 3 units to the right and vertically compressed by a factor of 0.6 to become g(x).Which function represents the transformation g(x)?

Answer 1

`f(x)=\log_2x`

Translation h units to the right and compressed by a factor A:

`f(x)=A\log_2(x-h)`

Then, if g(x) is f(x) after the given transformations, it has the next equation:

`\begin{gathered} g(x)=0.6\log_2(x-3) \\ \\ g(x)=(3)/(5)\log_2(x-3) \end{gathered}`Answer: last option