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MathGroup Archive 2013

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How can I simplify inverse functions with powers in them?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131519] How can I simplify inverse functions with powers in them?
  • From: Jesse Perla <jesseperla at gmail.com>
  • Date: Sat, 17 Aug 2013 02:06:03 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • Delivered-to: l-mathgroup@wolfram.com
  • Delivered-to: mathgroup-outx@smc.vnet.net
  • Delivered-to: mathgroup-newsendx@smc.vnet.net

Given the following two equivalent inverse functions, why does one simplify (using inverse functions that are acceptable to me) and the other doesn't? Is there an assumption or setting I can give which will force these to use inverse functions and simplify properly?

$Assumptions = A > 0 && k < 1 && k > 0;
InverseFunction[(#1 A^k (#1)^k) &] // FullSimplify
InverseFunction[(#1 (A #1)^k) &] // FullSimplify



Thanks,
Jesse



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