Find fog (2) and

We have, f: R → R given by f(x) = x² + 8 and

g : R → R given by g (x) = 3x³ + 1

fog(x) = f (g(x)) = f (3x³ + 1)

= (3x³ + 1)² + 8

fog(2) = (3 × 8 + 1)^{2 +} 8 = 625 + 8 = 633

Again,

gof(x) = g(f(x)) = g(x² + 8)

= 3(x² + 8)³ + 1

gof(1) = 3(1 + 8)^{3 +} 1 = 2188