Question

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

Answer 1

D

Explanation:

It's explained correct above

Answer 2

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

Explanation:

Recall and use the fact that, the domain of a relation becomes the range of its inverse and vice-versa.

Base on the possible answers ,the given relation is f(x) = {(8,3), (4, 1), (0, -1), (4,-3)}

To find an inverse relation for f(x), we need to swap the x and y coordinates of f(x).

The inverse of f(x) will have the ordered pairs: (3,8),(1,4),(-1,0),(-3,-4)

Therefore the correct choice is g(x) = {(3, 8), (1, 4), (-1,0), (-3, 4);