A. This is false since g(x) is a exponential function, therefore its growth rate is much greater.
B.
[tex]\begin{gathered} f(4.39)=2616.689 \\ g(4.39)=2606.657609 \end{gathered}[/tex]The rate of change for both is:
[tex]\begin{gathered} f(4.39)-f(4)=2616.819-2252=364.819 \\ g(4.39)-g(4)=2606.657609-1296=1310.6576 \\ \end{gathered}[/tex]They are very different, so this is false.
C. This is true, since g(x) is a exponential function it will surpass f(x) at some point.
D. This is false, the rate of change of g(x) is smaller for the first values of x.