Given f:x -> (x-1)(x-3), for x ≤ c

[Michael_Light]

Homework Statement

Given f:x -> (x-1)(x-3), for x ≤ c. Find the largest possible value of c for which the inverse of f exists.

Homework Equations

The Attempt at a Solution

I have no idea on this... can anyone help me?

 

[tiny-tim]

Hi Michael!

Draw the graph … what does it look like?

And how can an inverse fail to exist?

 

[Michael_Light]

Hi Michael!

Draw the graph … what does it look like?

Have i drawn the graph for f and inverse of f, what should i do next?

And how can an inverse fail to exist?

For an inverse to exist, domain if f = range of f^-1, correct me if i am wrong. ><

 

[tiny-tim]

ah, no, the really important thing is that f must be single-valued.