Identify the inverse g (x) of the given relation f (x).

f (x) = { (8,3), (4, 1), (0, - 1), (4, - 3) }

O g (x) = { (-4,-3), (0, - 1), (4, 1), (8,3) }

O g (x) = { (-8, - 3), (-4, 1), (0, 1), (4,3) }

O g (x) = { (8, - 3), (4, - 1), (0, 1), (-4,3) }

O g (x) = { (3, 8), (1, 4), (-1,0), (-3, 4);

"g (x) = { (3, 8), (1, 4), (-1,0), (-3, 4) "

Step-by-step explanation:

A simple property of inverse functions is that:

Whenever a function/relation is given in the form of ordered pair such as:

f (x) = (a, b), (c, d)

the inverse of that, e. g. g (x), would be simply changing the first and second values (interchange). Thus

g (x) = (b, a), (d, c)

So, from the relation f (x) given, if we change the first and 2nd values, we would get:

{ (3, 8), (1, 4), (-1,0), (-3, 4)

This is the 4th answer choice, hence that is correct.