Question

F(x)=x^2+2x-4 and g(x)=3x+1 find

Answer 1

g(f(x)) = 3x^2 + 6x - 11.

Explanation:

Replace the x in g(x) by f(x):

g(f(x)) = 3(x^2 + 2x - 4) + 1

= 3x^2 + 6x - 12 + 1

= 3x^2 + 6x - 11.

Answer 2

Explanation:

`f(x)=x^2+2x-4\\g(x)=3x+1\\\\g\circ f(x)=g(f(x)=3(x^2+2x-4)+1=3x^2+6x-11`