Question

Can two different functions ever have the same output when you plug the same value into each function? Give examples of two functions that behave like this

Answer 1

Yes. For example functions of 2 lines that intersect each other at one point. The xy value of that point will satisfy both functions.

Answer 2

Choose 2 random line functions
Y = 2x + 1
And y = x + 6
Use substitution to find point of intersection (x,y) = (6,13).
X=6 and y=13 satisfy both functions