Given f(x) =3x and g(x)=6x^2+8,find the following expressions.

Question

Given f(x) =3x and g(x)=6x^2+8,find the following expressions.

a) (fog)(4)

(b) (gof)(2)

(c) (fof)(1)

(d) (gog)(0)

Answer 1

(a) (f•g)(4) = f(g(4)) = f(104) = 312

(b) (g•f)(2) = g(f(2)) = g(6) = 224

(c) (f•f)(1) = f(f(1)) = f(3) = 9

(d) (g•g)(0) = g(g(0)) = g(8) = 392