Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

Graph A

Explanation:

You can use symmetry to find the inverse of a function because you know that the inverse of a function will be that function reflected across the line y=x. This is a line that has a slope of 1 and runs through the origin. Taking a look at the graph choices given, the only one that appears to have been reflected across y=x is graph A, since all of the points of pre-image and the corresponding points on the image are equally distant from y=x. Hope this helps!

Answer 2

Answer: A (the first graph)

Explanation:

Inverse is when you swap the x's and y's

A = (x, y) → A⁻¹ = (y, x)

I took three points from the graph (labeled A, B, C) and found their inverse.

A = (-7, 0) → A⁻¹ = (0, -7)

B = (0, 7) → B⁻¹ = (7, 0)

C = (9, 9) → C⁻¹ = (9, 9)

see graph below