The function f(x) is shown below.

x f(x)

-6 1
-3 2
2 5
5 3
8 0

if g(x) is the inverse of f(x), what is thw value of f(g(

a. -6
b. -3
c. 2
d. 5

choice C) 2



Explanation:

The inverse function simply undoes whatever the original function does. The same can be said vice versa. If the function adds one to a number, then the inverse function subtracts one to get back to the original input. Think "inverse" as "opposite". 

If g(x) is the inverse function of f(x), then f(g(x)) = x for all x in the domain. Whatever the input is, the composition of any function and its inverse leads back to that same input.

So, f(g(2)) = 2. 

Infinity is the farthest from 2 on the number line