Question

evaluate each expression using the graphs of y = f(x) and y = g(x) shown.

(a) (g \circ f)(-1)
(b) (g \circ f)(0)
(c) (f \circ g)(-1)
(d) (f \circ g)(4)

Explanation:

Evaluate (g ∘ f)(-1)

Using the Composite Functions and Graphical Function Evaluation knowledge points

$$
LATEXBLOCK0
$$

Evaluate (g ∘ f)(0)

Using the Composite Functions and Graphical Function Evaluation knowledge points

$$
LATEXBLOCK1
$$

Evaluate (f ∘ g)(-1)

Using the Composite Functions and Graphical Function Evaluation knowledge points

$$
LATEXBLOCK2
$$

Evaluate (f ∘ g)(4)

Using the Composite Functions and Graphical Function Evaluation knowledge points

$$
LATEXBLOCK3
$$

Answer:

Question a

(g ∘ f)(-1) = 5

Question b

(g ∘ f)(0) = 4

Question c

(f ∘ g)(-1) = 0

Question d

(f ∘ g)(4) = -1