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 the value of $f(g(2))$?- $-6$- $-3$- $2$- $5$

Explanation:

Step1: Use inverse function property

For any function $f(x)$ and its inverse $g(x)=f^{-1}(x)$, the composition $f(g(x)) = x$.

Step2: Substitute $x=2$

Apply the property to $x=2$: $f(g(2)) = 2$.

Answer:

2 (Option C)