Question

HELP PLEASE!

When two functions have an inverse relationship, the line of reflection will be which of the following equations?
Select the correct response(s):
x = 0
y = x
y = 0
y = -x

Thank you!

Answer 1

Option C: The line y = x

Explanation:

Let us take an ordered pair (x, y) of a function. Then the ordered pair of its inverse function would be (y, x).

That is to say, when we reflect a point (x, y) across the line y = x we get the point (y, x).

Note that since, this function is invertible, it is both 'one - one' and 'onto'.