Answer:
Therefore, the correct option is C) [tex]\frac{256}{3}[/tex]
Step-by-step explanation:
We need to find the [tex]F(4)[/tex] of the given function [tex]F(x)=\frac{1}{3}\times 4^x[/tex]
To find [tex]F(4)[/tex] , Replace [tex]x=4[/tex] in [tex]F(x)=\frac{1}{3}\times 4^x[/tex]
[tex]F(4)=\frac{1}{3}\times 4^4[/tex]
[tex]F(4)=\frac{1}{3}\times 256[/tex]
[tex]F(4)=\frac{1}{3}\times 256[/tex]
[tex]F(4)=\frac{256}{3}[/tex]
Therefore, the correct option is C) [tex]\frac{256}{3}[/tex]
