Hello!
The answer is:
[tex]f(3)=(\frac{1}{216})[/tex]
Why?
To find the required function f(3), we need to use the given function f(x) and evaluate "x" equal to 3 (input).
We are given the function:
[tex]f(x)=(\frac{1}{6})^{x}[/tex]
Then, evaluating "x" equal to 3, we have:
[tex]f(3)=(\frac{1}{6})^{3}[/tex]
[tex]f(3)=(\frac{1}{6})^{3}=(\frac{1}{6})*(\frac{1}{6})*(\frac{1}{6})=(\frac{1}{6*6*6})[/tex]
[tex]f(3)=(\frac{1}{6*6*6})=(\frac{1}{216})[/tex]
Hence, we have that the answer is:
[tex]f(3)=(\frac{1}{216})[/tex]
Have a nice day!
