Question

Given the following table with selected values of the functions f (x) and g(x), determine f (g(2)) − g(f (−1)).

x −5 −4 −1 2 4 7
f (x) 11 9 −1 −3 −7 −13
g(x) −10 −8 −2 4 8 14


A) −8

B) −5

C) −2

D) 1

Answer 1

f (g(2)) − g(f (−1)) = -5

Explanation:

Find the value for each term:

1. f (g(2)): g(2) is 4, so we get f(4), which is = -3

2. g(f (−1)): f(-1) is -1, so we get g(-1), which is = -2

Now we can write:

f (g(2)) − g(f (−1))

-3 -2

= - 5