EVALUATING COMPOSITE FUNCTIONS FROM GRAPHS

Problem 1 :

Find f(-3) + g(-3).

Solution

Problem 2 :

Find f(0) + g(0).

Solution

Problem 3 :

Find f(-6) + g(-6).

Solution

Problem 4 :

Find f(5) + g(5).

Solution

Problem 5 :

Find f(7) + g(7).

Solution

Problem 6 :

Sketch the graph of f + g. (Hint : For any x value, add the y values of f and g.) 

Solution

Problem 7 :

What is the domain of f + g ? Explain how you obtained your answer.

Solution

Problem 8 :

Find f(-2) - g(-2).

Solution

Problem 9 :

Find f(0) - g(0).

Solution

Problem 10 :

Find f(-4) - g(-4).

Solution

Problem 11 :

f(2) - g(2)

Solution

Problem 12 :

f(4) - g(4)

Solution

Problem 13 :

Sketch the graph of f - g. (Hint : For any x value, subtract the y values of f and g.) 

Solution

Problem 14 :

What is the domain of f - g ? Explain how you obtained your answer.

Solution

Answer Key

1)  f(-3) + g(-3) = 4

2)  f(0) + g(0) = 5

3)  g(-6) = undefined

4)  f(5) + g(5) = 6

5)  f(7) + g(7) = undefined

6)  (-3, 4)(-2, 5)(-1, 5)(0, 5)(1, 5)(2, 5)(3, 5)(4, 4)(5, 6)(6, 7)

7) domain is [-3, 6].

8)  f(-2) - g(-2) = 3

9)  f(0) - g(0) = -1

10)  f(-4) - g(-4) = undefined.

11)  f(2) - g(2) = -5

12)  f(4) - g(4) = -8

13)

14)  [-3, 8]