Answer
g(x) = −4
Explanation
The reflection on the X-axis changes the x-coordinates the signs. f(x) =4 are the points that lies on the line x=4.
When reflected across the x-axis, it will lie in the line x=-4.
So, the function g(x) = -4.
Answer:
C. [tex]g(x)=-4[/tex]
Step-by-step explanation:
We have been given formula of a function [tex]f(x)=4[/tex] and we are asked to find the function g(x) that represents the reflection of function f(x) across the x-axis.
Since we know that the rule of reflection of a function across x-axis is:
[tex]f(x)\rightarrow-f(x)[/tex]
Since the value of our function f(x) is 4, so after reflecting across the x-axis it will be negative.
So after reflecting function f(x) across x-axis, we will get our new function g(x) as:
[tex]g(x)=-4[/tex]
Therefore, the function [tex]g(x)=-4[/tex] represents a reflection of [tex]f(x)=4[/tex] across the x-axis and option C is the correct choice.
