Chapter 4 - Summary, Review, and Test - Cumulative Review Exercises (Chapters 1-4) - Page 514: 16

a) $(f$ o $g)(x) = x^{2} + 4x + 4$ b) $(g$ o f$)(x) = x^{2} + 2$

$f(x) = x^{2}$ $g(x) = x+2$ a) $(f$ o $g)(x)$ $= f(g(x))$ $= f(x+2)$ $= (x+2)^{2}$ $= x(x+2)+2(x+2)$ $= x^{2} + 4x + 4$ b) $(g$ o f$)(x)$ $= g(f(x))$ $= g(x^{2})$ $= x^{2} + 2$