Given the functions f, left bracket, x, right bracket, equals, 4, x, to the power 5f(x)=4x

Question

5
and g, left bracket, x, right bracket, equals, 7, dot, 3, to the power xg(x)=7⋅3
x
, which of the following statements is true?
Answer
Multiple Choice Answers
f, left bracket, 7, right bracket, is greater than, g, left bracket, 7, right bracketf(7)>g(7)
f, left bracket, 7, right bracket, equals, g, left bracket, 7, right bracketf(7)=g(7)
f, left bracket, 7, right bracket, is less than, g, left bracket, 7, right bracketf(7)<g(7)

Answer 1

To determine which statement is true, we need to evaluate f(7) and g(7) and compare the results.

First, let's evaluate f(7):
f(x) = 4x^5
f(7) = 4(7)^5 = 4(16807) = 67228

Next, let's evaluate g(7):
g(x) = 7.3^x
g(7) = 7.3^7 = 7(2187) = 15309

Comparing the two values, we can see that f(7) is greater than g(7).

Therefore, the correct statement is: f(7) > g(7).