Question

Which of the following options is an equivalent function to f(x) = 4(3)^2x? (2 points) A f(x) = 36^x B f(x) = 4(9)^x C f(x) = 144 D f(x) = 4(6x)

Answer 1

Given the function:

$f(x)=4(3)^{2x}$

To find the equivalent function, let's simplify the function above,

Use PEDMAS to simplify

Thus, we have:

$\begin{gathered} f(x)=4(3)^{2x}\text{ = 4(3}\times3)^x \\ \\ f(x)=4(9)^x \\ \end{gathered}$

ANSWER:

$B.f(x)=4(9)^x$