Use the graphs of f and g to evaluate the composite function

Use the graphs of f and g to evaluate the composite function. (f middot g)(- 2) (f middot g)(- 2) =

Solution

we have to find (f o g ) (-2)

It means we need to find f (g(-2). So first of all we will see what is the value of g(-2)

From the graph of g(x) we have g(-2) = -1

Hence we can write  f (g(-2) = f(-1)

Finally we find f(-1) and from the f(x) we have f(-1) =  5

Therefore,

(f o g ) (-2) = 5