Question

The function g(x) = 8(4x) is reflected across the x-axis to create f(x). What is the equation for f(x)? f(x) = (4)x

Answer 1

`f(x)=-8(4^x)`

Explanation:

We have been given that a function
`g(x)=8(4^x)`. We are asked to find the equation for the function
`f(x)` that is obtained from reflecting
`g(x)` across the x-axis.

We know that rule to reflect a function across x-axis is:
`f(x)\rightarrow -f(x)`

After reflecting
`g(x)` across the x-axis, we will get:

`f(x)=-g(x)`

`f(x)=-8(4^x)`

Therefore, our required function would be
`f(x)=-8(4^x)`.