Question

evaluate each expression using the graphs of y = f(x) and y = g(x) shown. (a) (g ∘ f)(-1) (b) (g ∘ f)(0) (c) (f ∘ g)(-1) (d) (f ∘ g)(4) (a) (g ∘ f)(-1) = 2 (simplify your answer.) (b) (g ∘ f)(0) = \square (simplify your answer.)

Explanation:

Step1: Define composite function

$(g \circ f)(0) = g(f(0))$

Step2: Find $f(0)$ from graph

From $y=f(x)$, when $x=0$, $f(0)=2$

Step3: Find $g(2)$ from graph

From $y=g(x)$, when $x=2$, $g(2)=2$

Answer:

2