Re: InverseFunction[]
- To: mathgroup at smc.vnet.net
- Subject: [mg41950] Re: InverseFunction[]
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Wed, 11 Jun 2003 03:49:47 -0400 (EDT)
- Organization: The University of Western Australia
- References: <bbt23g$nj3$1@smc.vnet.net> <bc1jh1$bjp$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
In article <bc1jh1$bjp$1 at smc.vnet.net>, wself at msubillings.edu (Will Self) wrote: > You can easily write down a function which has an inverse, but the > inverse cannot be expressed in closed form, or in symbols that anyone > has invented. For example, f[x_]= x*E^x. This function is increasing > on (for example) the interval [1,3], therefore an inverse exists, at > least for 1 <= x <= 3. But (as far as I know) this inverse function > has no name. Your point is valid. However, try Solve[x*E^x == y, x] and you'll see Mathematica knows about the inverse function for your example. Cheers, Paul -- Paul Abbott Phone: +61 8 9380 2734 School of Physics, M013 Fax: +61 8 9380 1014 The University of Western Australia (CRICOS Provider No 00126G) 35 Stirling Highway Crawley WA 6009 mailto:paul at physics.uwa.edu.au AUSTRALIA http://physics.uwa.edu.au/~paul
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