Question

given the graphs of functions f and g shown here

Answer 1

We have two functions graphically. From them, we can see that:

$g(x)=|x-2|,f(x)=(x+1)^2-4$

Then, we have that the composition of both functions in x = 2 is:

$f\circ g(2)=(|2-2|+1)^2-4=(0+1)^2-4=1-4=-3$

Then, the value for the composition of these two functions in x =2 is -3.