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:

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