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Re: finding inverses of functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg126439] Re: finding inverses of functions
  • From: Bob Hanlon <hanlonr357 at gmail.com>
  • Date: Thu, 10 May 2012 05:00:11 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • References: <201205090750.DAA05576@smc.vnet.net>

f[x_] = 3 x^3 + 2 E^(2 x);

g = InverseFunction[f];

Plot[f[x], {x, 0, 1},
 PlotRange -> {{0, 1}, {0, 20}}]

Plot[g[x], {x, f[0], f[1]},
 PlotRange -> {{0, 20}, {0, 1}}]


Bob Hanlon

On Wed, May 9, 2012 at 3:50 AM, John Accardi <accardi at accardi.com> wrote:
> Hello,  I am trying to get Mathematica to find the inverse of:
>
> y = 3x^3 + 2e^(2x)  (which I know is invertible)
>
> InverseFunction only seems to give inverses of built-ins, like Sine.
>
> I tried:
>
> Solve[ y == 3x^3 + 2e^(2x), x ] but get a message that Solve does not=
 have methods suitable.  (Solve works for simpler functions, however.)
>
> Any ideas?  Thanks.
>



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