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

Answer:

f(g(2)) = 2

Step-by-step 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: $f(g(2)) = 2$

Answer 2

Answer:

2

Step-by-step explanation:

f(g(x)) = x

hope it helps :)