Answer:
f(x) and g(x) graphs are given.
To find f(g(2))
we get that,
g(x) is the red graph plotted.
g(2)=-1 (at x=2, we get g(2)=-1)
Hence,
[tex]f\mleft(g\mleft(2\mright)\mright)=f\mleft(-1\mright)[/tex]
From the graph, we get f(-1)=4
Therefore we get, f(g(2))=4
Answer is:
[tex]f(g(2))=4[/tex]
