Respuesta :

[tex]f(3)= \frac{1}{3} (4)^3[/tex]
[tex]f(3)= \frac{1}{3} (64)[/tex]
[tex]f(3)= \frac{64}{3} [/tex]

For given function  [tex]f(x)=\frac{1}{3}(4^x)[/tex], f(3) = 21.33

What is a function?

  • "It defines a relation between input and output."
  • "In function, for each input there is exactly one output."

For given question,

We have been given a function [tex]f(x)=\frac{1}{3}(4^x)[/tex]

We need to find the value of f(3)

This means we need to find the value of given function  [tex]f(x)=\frac{1}{3}(4^x)[/tex] for   x = 3

For x = 3,

[tex]\Rightarrow f(3)=\frac{1}{3}(4^3)\\\\\Rightarrow f(3)=\frac{1}{3}(4\times 4 \times 4) \\\\\Rightarrow f(3)=\frac{1}{3}\times 64\\\\\Rightarrow f(3)=\frac{64}{3}\\\\ \Rightarrow f(3)=21.33[/tex]

Therefore, for given function  [tex]f(x)=\frac{1}{3}(4^x)[/tex], f(3) = 21.33

Learn more about the function here:

https://brainly.com/question/13654156

#SPJ3

ACCESS MORE