EVALUATING COMPOSITION OF FUNCTIONS FROM A GRAPH WORKSHEET

Answer the following, using the graph below.

Problem 1 :

(a) g(2)    (b) f(g(2))     (c) f(2)        (d) g(f(2))

Solution

Problem 2 :

(a) g(0)           (b) f(g(0))       (c) f(0)       (d) g(f(0))

Solution

Problem 3 :

(a) (f ∘ g)(-3)      (b) (g ∘ f)(-3)

Solution

Problem 4 :

(a) (f ∘ g)(-1)      (b) (g ∘ f)(-1)

Solution

Problem 5 :

(a) (f ∘ f)(3)         (b) (g ∘ g)(-2)

Solution

Problem 1 :

Refer to the graph to complete the statements below.

a) (f + g)(-3) = ______             Solution

b) (f · g)(2) = ______             Solution

c) (f/g)(-1) = ______          Solution

d) (f ∘ g)(3) = ______          Solution

e) g^-1(-4) = ______           Solution

f) Evaluate (f ∘ f)(2) ______          Solution

g) Evaluate g(f(g(1))) ______        Solution

h) State the domain of f + g _____        Solution

i) State the domain of f/g. ______        Solution

j) Evaluate (f(3))³ - 4g(-2) ______       Solution

k) For what value(s) is f(x) = 3? _______     Solution