Question

HELP

Which of the following functions is equivalent to the function below?

Select two that apply.

Answer 1

see below

Explanation:

The exponent rules that apply are ...

(a^b)(a^c) = a^(b+c)

a^-b = (1/a)^b

(a^b)^c = a^(b·c)

_____

These let you rewrite the given function as ...

f(x) = (3^(2x))(3^1) = 3(3^(2x)) = 3(3^2)^x = 3·9^x

and

f(x) = 3^(2x+1) = (3^-1)^(-(2x+1)) = (1/3)^-(2x+1)