Given the functions f, of, x, equals, 3, x, to the power 5f(x)=3x^5 and g, of, x, equals, 12, dot, 4, to the power xg(x)=12⋅4^x

Question

which of the following statements is true?
f(4)>g(4)
f, of, 4, equals, g, of, 4f(4)=g(4)
f, of, 4, is less than, g, of, 4f(4)<g(4)

Answer 1

The correct statement is: f(4) > g(4)

To evaluate f(4):

f(4) = 3(4)^5 = 3(1024) = 3072

To evaluate g(4):

g(4) = 12 * 4^4 = 12 * 256 = 3072

Since f(4) (3072) is greater than g(4) (3072), the correct statement is f(4) > g(4).