Respuesta :

Answer:

The answer would be f(x)={4x/9}

Step-by-step 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.