Answer:
[tex]g(f(x)) = - 4x + 18[/tex]
Step-by-step explanation:
f(x) = - x + 6
g(x) = 4x - 6
In order to find g(f(x)) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
[tex]g(f(x)) = 4( - x + 6) - 6 \\ = - 4x + 24 - 6[/tex]
We have the final answer as
[tex]g(f(x)) = - 4x + 18[/tex]
Hope this helps you
