Question

mhf 4u0 - rehauhan

1. given the graphs of f(x) and g(x) as shown, find 4c

a) (f∘g)(1) = ?
(-2,-3) (2,0) (1) ?
b) (f∘f)(-2) = ?
(2,-3) (0,1) (-2) ?

Explanation:

Step1: Solve $(f \circ g)(1)$: First find $g(1)$

From the graph, $g(1)=1$

Step2: Substitute into $f(x)$: Find $f(g(1))=f(1)$

From the graph, $f(1)=0$

Step3: Solve $(f \circ f)(-2)$: First find $f(-2)$

From the graph, $f(-2)=-3$

Step4: Substitute into $f(x)$: Find $f(f(-2))=f(-3)$

From the graph, $f(-3)=0$

Answer:

a) $(f \circ g)(1)=0$
b) $(f \circ f)(-2)=0$