Question

The function f(x) is shown below.

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answer 1

f(g(2)) = 2

Explanation:

g(2)

g is the inverse function of x, which means that
`g(2)` is the value of x for which
`f(x) = 2`, which is
`x = -3`, and thus,
`g(2) = -3`

f(g(2))

`g(2) = -3`

Thus

`f(g(2)) = f(-3)`

Looking at the table, when
`x = -3, f(x) = 2`

Thus:
`f(g(2)) = 2`