Question

Is the inverse of a function always a function? Explain.

Answer 1

@mathmale

Answer 2

@jigglypuff314

Answer 3

@haleyelizabeth2017

Answer 4

The inverse of a function is a reflection about the y=x line...
What happens if you take a function like f(x)=x^2 and reflect is over y=x?

Answer 5

It becomes negative?

Answer 6

no the whole function doesn't become negative.

try reflecting f(x)=x^2 about y=x
draw a doodle here

Answer 7

It flips right? And becomes x=y?

Answer 8

x=y is a line

Answer 9

Okay, but I mean I already know that the inverse of a function is not always a function, I just don't know why that is.

Answer 10

this is f(x)=x^2 and y=x

I'm going to reflect f(x)=x^2 about y=x...