Given the functions f, left bracket, x, right bracket, equals, 2, x, to the power 5f(x)=2x

Question

5
and g, left bracket, x, right bracket, equals, 6, dot, 3, to the power xg(x)=6⋅3
x
, which of the following statements is true?
Answer
Multiple Choice Answers
f, left bracket, 9, right bracket, equals, g, left bracket, 9, right bracketf(9)=g(9)
f, left bracket, 9, right bracket, is less than, g, left bracket, 9, right bracketf(9)<g(9)
f, left bracket, 9, right bracket, is greater than, g, left bracket, 9, right bracketf(9)>g(9)

Answer 1

To find the value of f(9), we substitute 9 into the function f(x) and simplify:

f(9) = 2(9)^5 = 2(59049) = 118098

To find the value of g(9), we substitute 9 into the function g(x) and simplify:

g(9) = 6.3^9 = 6(19683) = 118098

Therefore, f(9) is equal to g(9).

The correct statement is: f(9) = g(9)