Answer:
The answer would be f(x)={4x/9}
Explanation:
f(x)=4({1}{3})^{2x}
Apply exponent rule:
f(x)=4({1^2}{3^2})^x
f(x)=4({1}{9})^x
the required function is f(x)=4({1}{9})^x
OR
If the function is f(x)=4(\frac{1}{3})^2x
Apply exponent rule:
f(x)=4({1^2}{3^2})x
f(x)=4({1}{9})x
f(x)={4x}{9}
Hence, the required function is f(x)={4x}{9}
I hope this helped. I am sorry if you get this wrong.