Question

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(2))?

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

Answer 1

Answer: choice C) 2

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Step-by-step 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.