Question

Find (fog)(x) and (gof)(-1) for the functions f(x) = 3x² + 5 and g(x) = -x + 1

Answer 1

Explanation:

fog(x)=3(-x+1)^2+5

=3(x^2+2x+1)+5

=3x^2+6x+3+5

fog(x) =3x^2+6x+8

gof(x)=-(3x^2+5)+1

=-3x^2-5+1

gof(x)=-3x^2-4

gof(-1)=-3(-1)^2-4

=-3-4

gof(-1) =-7