COMPOSTION OF FUNCTIONS FROM A GRAPH WORKSHEET

Problem 1 :

Use the graph of f(x) and g(x) to find the composition of functions.

a. f(g(2))

b. [f ∘ g] (0)

c. g(f(2))

d. [g ∘ f] (-1)

e. g(g(4))

f. [f ∘ f] (3)

g. f (g(f(1)))

h. g(f(g(0)))

Problem 2 :

Use the graph to determine the value of each composite function.

a. (h ∘ f) (3) =

b. (f ∘ g) (4) =

c. (f ∘ f) (-4) =

d. (g ∘ g) (1) =

e. (g ∘ h) (0) =

Problem 3 :

Use the graphs to evaluate the expressions below.

a. f(g(3))

b. f(g(1))

c. g(f(1))

d. g(f(0))

e. f(f(5))

f. f(f(4))

g. g(g(2))

h. g(g(0))

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