Question

If (4, -5) is on the graph of F(x), which point must be on the graph of the inverse function F -1(x)?

A. (5, -4)
B. (-4, 5)
C. (4, -5)
D. (-5, 4)

Answer 1

D. to find the inverse, swap the x and y.

Answer 2

Option d is right.

Explanation:

We know that a relation is a function only if every element in domain has a unique image.

A function has an inverse only if it is one to one and on to.

Here image is -5

Since one to one function, preimage is only 4

Hence inverse function will have ordered pair as

(-5,4)

Option d is right