Question

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

Answer 1

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`