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#1 2011-11-25 18:38:20

Registered: 2011-05-11
Posts: 171

Issues with the inverse functions page


"Not Always Solvable!

It is sometimes not possible to find an Inverse of a Function.

Example: f(x) = x/2 + sin(x)

We cannot work out the inverse of this, because we cannot solve for "x":

y = x/2 + sin(x)

y ... ? = x"

This function isn't even one-to-one, so by default, a person cannot
find an inverse for it, because the inverse does not exist for it.


Also, you could mention that certain functions are inverses of themselves.

Signature line:

I wish a had a more interesting signature line.


#2 2011-11-26 10:16:25

Registered: 2005-01-21
Posts: 7,684

Re: Issues with the inverse functions page

But we can easily choose an interval where it is one-to-one, say [0,2]. Is it then solvable?

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman


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