Using the given graph we must find the value of the composition of f(g(x)) evaluated in x = -2, we will get:
f(g(-2)) = 2
First, we need to find the value of g(-2), to get this, we look at the graph of g(x) and find the value when x = -2, it is:
g(-2) = -1
Then we have:
f(g(-2)) = f(-1)
Now we must find f(-1) in the f(x) graph, it is:
f(-1) = 2
Then we have:
f(g(-2)) = 2
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