Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**reconsideryouranswer****Member**- Registered: 2011-05-11
- Posts: 172

From:

http://www.mathsisfun.com/sets/function-inverse.html

"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.

Offline

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,558

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

Offline