Question

How are the graphs of the functions f(x) = sqrt 16^x and g(x) = ^3 sqrt 64 ^x related?

The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.

Answer 1

A. The functions f(x) and g(x) are equivalent.

Answer 2

Simplify the given expressions.


`f(x)= \sqrt{16^(x)} =(4^(2))^(x/2) = 4^(x)`

`g(x)= \sqrt[3]{64^(x)} =(4^(3))^(x/3) = 4^(x)`

Answer:
The two functions f(x) and g(x) are equivalent.