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

Solution:

Here the given equivalent function is

f(x) = 4(3)²x

To find which option is equivalent ,

We need to solve the above function ,

f(x) = 4(3)²x

We know that 3² = 9

f(x) = 4×(9)x

So we get

f(x) = 36x

Therefore, the equivalent function is f(x) = 36x.

Which of the following options is an equivalent function to f(x) = 4(3)²x?

Summary:

In the options, f(x) = 36x is an equivalent function to f(x) = 4(3)²x.