Question

The function f(x) is shown below.

х
-6
-3
f(x)
1
2
5
3
Coon
0
If g(x) is the inverse of f(x), what is the value of f(g(2))?
-6
оооо
5

Answer 1

`f(g(2)) = 2`

Explanation:

Given

`x \to f(x)`

`-6 \to 1`

`-3 \to 2`

`g(x) = f^(-1)(x)` --- inverse

Required

`f(g(2))`

For two functions f(x) and g(x) where f(x) and g(x)are inverse;

`f(g(x)) = x`

So, by comparison:

`f(g(2)) = 2`