Respuesta :

Stephen46

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