Question

F(x)=3x and g(x)=x+2 find fog(x),gof(x),fog(2),gof(2)

Answer 1

Explanation:

fog(x)=f(g(x)) =f(x+2) =3⋅(x+2) =3x+6

gof(x)=g(f(x))=g(3x) =3x+2

gof(2)=3⋅2+2 =6+2 =8

fog(2)=3⋅(2+2) =3*2+6=12