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Given the graphs of f(x) and g(f) below find the composition of functions f(g(2))

Given the graphs of f(x) and g(f) below find the composition of functions f(g(2))-example-1
User Qinjie
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1 Answer

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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,


f\mleft(g\mleft(2\mright)\mright)=f\mleft(-1\mright)

From the graph, we get f(-1)=4

Therefore we get, f(g(2))=4

Answer is:


f(g(2))=4

User Dorcas
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