use the graphs of f and g to evaluate the composite function. (f ∘ g)(-2)
use the graphs of f and g to evaluate the composite function. (f ∘ g)(-2)
Answer
Explanation:
Step1: Find g(-2) from g(x) graph
Locate x = - 2 on the x - axis of the g(x) graph. The corresponding y - value is g(-2). From the graph of y = g(x), when x=-2, g(-2)=2.
Step2: Find f(g(-2))
Since g(-2)=2, then (f ∘ g)(-2)=f(g(-2)) = f(2). Locate x = 2 on the x - axis of the f(x) graph. The corresponding y - value is f(2). From the graph of y = f(x), when x = 2, f(2)=1.
Answer:
1