Misalkan diketahui f(x)=3x-1, g(x)=2x^2, dan h(x)=1-x.

a. 6x^2 - 1; b. 2 - 6x^2; c. 18x^2 - 24x + 8

Pembahasan

Diketahui f(x)=3x-1, g(x)=2x^2, dan h(x)=1-x. 
a. (fog)(x) = f(g(x)) = f(2x^2) = 3(2x^2) - 1 = 6x^2 - 1.
b. (fohog)(x) = f(h(g(x))) = f(h(2x^2)) = f(1 - 2x^2) = 3(1 - 2x^2) - 1 = 3 - 6x^2 - 1 = 2 - 6x^2.
c. (gofoh)(x) = g(f(h(x))) = g(f(1-x)) = g(3(1-x)-1) = g(3-3x-1) = g(2-3x) = 2(2-3x)^2 = 2(4 - 12x + 9x^2) = 8 - 24x + 18x^2.