Answer:
1) f(g(-2))=-3, 2) g(f(0))=5
Explanation:
1)f(g(-2))
First, g(-2) means that x=-2. Hence, you must find the value of g(x) in the table when x=-2. You can see that, when x=-2, g(-2) = -3.
Next, you must find f(-3) in the graph, where x=-3. You can see in the graph that, when x=-3, f(-3) = -2.
Therefore, f(g(-2))=-3
2) g(f(0))
In the case, we must apply the inverse procedure. First, check in the graph that, when x=0, f(0) =1.
Next, we must look at the table and see that, when x=1, g(1)=5. Hence,
g(f(0))=5