Answer:
[tex]g(x)=-4x-8[/tex]
Step-by-step explanation:
Reflecting a function across the y-axis effectively swaps the positive and negative x-coordinates. This means that we can replace:
to get a function's reflection over the y-axis:
[tex]f(x) =4x-8[/tex]
↓↓↓
[tex]g(x)=4(-x)-8[/tex]
[tex]g(x)=-4x-8[/tex]