Question

Use the function below to find f(4).

Answer 1

F(x) = 1/3 * 4^x.......f(4)....so we sub in 4 for x
f(4) = 1/3 * 4^4
f(4) = 1/3 * 256
f(4) = 256/3 <===

Answer 2

Answer:  The correct option is (C) $\dfrac{256}{3}.$

Step-by-step explanation:  The given function is

$f(x)=\dfrac{1}{3}\times 4^x.$

We are to find the value of f(4).

To find the value of f(4), we need to substitute the value of x as 4 in the given definition of function f(x).

Substituting x = 4 in f(x), we have

$f(4)=\dfrac{1}{3}\times 4^4=\dfrac{1}{3}\times 256=\dfrac{256}{3}.$

Therefore, the value of f(4) is $\dfrac{256}{3}.$

Option (C) is correct.