Unit 2 Lesson 3 Composition of Functions

F(x)=x^2-5 g(x)=2x+3 (F•g)(-2)

-4

F(x)=x^2-5 g(x)=2x+3 (f•f)(-1)

11

F(x)=x^2-5 g(x)=2x+3 F(g(1))

20

F(x)=x^2-5 g(x)=2x+3 g(f(x))

2x^2-7

Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the function I(h) = (12h - h2)/36. They then model the temperature of the soil, T, as a function of the intensity using the function T(I) = 5000I. Which of the following is closest to the temperature of the soil at 2:00 p.m. ?

67

F(x)=x^2-5 g(x)=2x+3 g(g(0))

9

Find g(h(a)) if g(a) = a 3 - 3a h(a) = 3a - 1

g(h(a)) = 27a^3 - 27a^2 + 2

Evaluate h(g(f(3))) if f(x) = 3x g(x) = x - 6 h(x) = -x2 - 2

h(g(f(3))) = -11