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. >

**References**:**finding inverses of functions***From:*John Accardi <accardi@accardi.com>