Evaluate each expression using the graphs of y fx and y gx

Evaluate each expression using the graphs of y =f(x) and y = g(x) shown below. (a) (g o f)(-1) (b) (g o f)(0) (c) (fo g)-1) (d) (fo g)(4)

Solution

a) (g o f)(-1)

f(-1) = 0

g(f(-1)) =g(0) =7

b) (g o f)(0)

f(0) = -2

(g o f)(-1) = g(-2) = does not exist , graph does not exist

c) (f o g )(-1)

g(-1) = 5

(f o g )(-1) = f(5) = 2

d) (f o g)(4)

g(4) = 4

(f o g)(4) = f(4) = 1