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

Answer:

$f(g(2)) = 2$

Step-by-step 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:

$f(g(2)) = 2$