Akira says that the graphs of both of these functions will grow at the same rate. is he correct? why, or why not?

f(x)=3⋅2^x
g(x)=6^x

a) he is not correct. the graph of f grows at a faster rate than the graph of g because each value is multiplied by 3.

b) he is correct. they grow at the same rate because 2 • 3 = 6.

c) he is not correct. the graph of g grows at a faster rate than the graph of f because 6 is greater than 2.

d) there is not enough information to tell which graph will grow at a faster rate.