Answer
$f(x)=2^x$ grows faster
Work Step by Step
Graphing both functions on the same coordinate system,
(see below)
we see that both functions rise as x become very large
and
the graph of f(x) (blue) is ABOVE the graph of g(x),
meanning that f(x) grows faster
This is also illustrated by the accompanying table for f(x) and g(x).
