The function \(f\) is defined by \(f(x) = a b^{\frac{x}{n}}\), where …

Question

Prompt

The function

f

is defined by

f (x) = a b^{\frac{x}{n}}

, where

a, b

, and

n

are constants, and

b

and

n

are integers. If

f (4) = 5

and

f (7) = 135

, what is the value of

f (9)