Answer:
A. [tex]\frac{4}{27}[/tex]
Step-by-step explanation:
Given function:
[tex]F(x)=4\times(\frac{1}{3})^x[/tex]
To find [tex]F(3)[/tex]
In order to find [tex]F(3)[/tex] we will plugin [tex]x=3[/tex] in the given function.
So,
[tex]F(3)=4\times(\frac{1}{3})^3[/tex]
Expanding the exponents
[tex]F(3)=4\times(\frac{1\times1\times1}{3\times3\times3})[/tex]
[tex]F(3)=4\times\frac{1}{27}[/tex]
∴ [tex]F(3)=\frac{4}{27}[/tex]
