If the function is asking what if x = 5, then we will substitute the exponent x with 5.
[tex]f(5)=\frac{1}{9}(3^5)[/tex]From the formula above, we will multiply 3 to itself five times (3 x 3 x 3 x 3 x 3) = 243
[tex]f(5)=\frac{1}{9}(243)[/tex]After that, we will multiple 243 to 1/9 or simply divide 243 by 9.
[tex]f(5)=\frac{243}{9}=27[/tex]Therefore, the value of the function if x = 5 is 27. Option A is the answer.