Question

If g(x) = {(4, -5), (-3, 2), (-6, 1), (1,0)}, which set of ordered pairs represents

the inverse of g(x)?
O A. {(-5, 4), (2, -3), (1, -6), (0, 1)}
O B. {(-4,5), (3, -2), (6, -1), (-1,0)}
O C. {(5, -4), (-2,3), (-1,6), (0, -1)}
O D. {(4, -5), (-3,2), (-6, 1), (1, 0)}

Answer 1

A. {(-5, 4), (2, -3), (1, -6), (0, 1)}

Explanation:

You are flipping the x and y values.

Answer 2

The inverse of g(x) is {(-5, 4), (2, -3), (1, -6), (0, 1)} ⇒ (A)

Explanation:

To find the inverse of a function switch x and y

Example:

If f(x) = {(1, 2), (-4, 5), (0, 0)}

To find its inverse switch x and y in each ordered pair

The inverse of f(x) = {(2, 1), (5, -4), (0, 0)}

Let us do the same with our question

∵ g(x) = {(4, -5), (-3, 2), (-6, 1), (1, 0)}

→ Switch x and y coordinates in all ordered pair

∴ The inverse of g(x) = {(-5, 4), (2, -3), (1, -6), (0, 1)}

Look at the answer to find the correct choice

It is (A)