Question

Quick anyone know the answer to this algebra question?

Answer 1

The function plotted looks like

$f(x)=\log_4 x$

which is going to have many things in common with g(x).

Both graphs increase... CHECK

Same x intercept.  Yes, log(1)=0 in every base.  CHECK

No y intercept; log(0) is always undefined.  CHECK

Neither has a vertical asymptote.  No, the y axis, x=0, is the vertical asymptote for both functions.   FALSE, no check

Both graphs have a horizontal asymptote.  No, both functions are slowly growing but grow without bound.  FALSE, no check