Use the graph of f and g to evaluate the functions a f g8 b

Use the graph of f and g to evaluate the functions. a. (f g)(8) b. (f o g)( 3) c. (-7) d. (g o f)(3) y f(x) 4- 6 8- 10 -10 -8 6 -4 -10- (Simplify your answer.) (Simplify your answer.) (Simplify your answer.) (Simplify your answer.)

Solution

a) (f+g)(8) = f(8) + g(8)

from the graph

f(8) = 7

g(8) = -10

f+g(8) = 7 - 10 = -3

b) (fog)(-3)

g(-3) = 0

f(0) = 1

therefore, (fog)(-3) = 1

c) (f/g)(-7) = f(-7) / g(-7)

f(-7) = 8

g(-7) = 4

(f/g)(-7) = 8/4 = 2

d) (gof)\'(3)

f(3) = 2

g(2) = -5

therefore, (gof)(3) = -5

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