University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2020
Views:

450

Pages:

2
Author:

Alma Hester

PRE-CALCULUS/TRIG 3 Name: ____________________________ Date: ___________ 1.8 Function Combinations Worksheet I. Given f(x) = 3x + 2 and g(x) = x2 – 5. Find each of the following functions. 1. (f + g)(x) 2. (f – g)(x) 3. (f•g)(x) 4. (f ◦ g)(x) 5. (g ◦ f)(x) 6. (f/g)(x) 7. f(g(-2)) 8. g(f(3)) II. Given f(x) = 2 and g(x) = x2 – 2. Find each of the following functions. x4 9. (f + g)(x) 10. (f – g)(x) 11. (f•g)(x) 12. (f/g)(x) Find (f ◦ g)(x) and (g ◦ f)(x) 1 13. f(x) = x + 5 (f ◦ g)(x)= ____________ 3 g(x) = x – 3 15. (g ◦ f)(x)= ___________ f(x) = 2x2 – 5x + 1 (f ◦ g)(x)= ____________ g(x) = 2x – 3 (g ◦ f)(x) = ____________ 14. f(x) = 2x3 – 3x2 + 1 g(x) = 3x (f ◦ g)(x) ____________ (g ◦ f)(x)= ___________ 16. f(x) = 3x2 – 2x + 5 (f ◦ g)(x)= ____________ g(x) = 2x – 1 (g ◦ f)(x) = ____________ Application The total numbers of Army personnel (in thousands) A and Navy personnel (in thousands) N from 1990 to 2002 can be approximated by the models A(t )  3.36t 2  59.8t  735and N (t )  1.95t 2  42.2t  603where t represents the year, with t=0 corresponding to 1990. a. Find (A + N)(t). Evaluate this function when year=1994 b. Find (A-N)(t). Evaluate this function when year=2002.