Answer :
Answer:
[tex]f(x)=-8(4^x)[/tex]
Step-by-step explanation:
We have been given that a function [tex]g(x)=8(4^x)[/tex]. We are asked to find the equation for the function [tex]f(x)[/tex] that is obtained from reflecting [tex]g(x)[/tex] across the x-axis.
We know that rule to reflect a function across x-axis is: [tex]f(x)\rightarrow -f(x)[/tex]
After reflecting [tex]g(x)[/tex] across the x-axis, we will get:
[tex]f(x)=-g(x)[/tex]
[tex]f(x)=-8(4^x)[/tex]
Therefore, our required function would be [tex]f(x)=-8(4^x)[/tex].