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Re: Simple question about inverse of a function
*To*: mathgroup at smc.vnet.net
*Subject*: [mg122529] Re: Simple question about inverse of a function
*From*: DrMajorBob <btreat1 at austin.rr.com>
*Date*: Mon, 31 Oct 2011 06:50:24 -0500 (EST)
*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com
*References*: <201110300922.EAA15359@smc.vnet.net>
*Reply-to*: drmajorbob at yahoo.com
f[t_] := (1 - t)^theta
Assuming[t >= 0 && t <= 1 && theta >= 1 &&
theta < Infinity, {Quiet@InverseFunction[f][t]}]
{1 - t^(1/theta)}
Bobby
On Sun, 30 Oct 2011 04:22:58 -0500, Mikael
<mikaen.anderson.1969 at gmail.com> wrote:
> I have a simple question on how to calculate the inverse of a a
> function. This is the function I define:
>
> f[t_] := (1 - t)^theta
>
> To calculate the inverse I write:
>
> Assuming[t >= 0 && t <= 1 && theta >= 1 && theta < Infinity, {
> InverseFunction[f[t]]}]
>
> but the answer I get is
>
> {InverseFunction[(1 - t)^theta]}.
>
> Now I know I can do this:
>
> In[11]:= Solve[f[g[x]]==x,g[x]]
> Out[11]= {{g[x]->1-x^(1/theta)}}
>
> but I wonder what is the correct way of specifying assumptions on t and
> theta to make the InverseFunction work. Thanks.
>
--
DrMajorBob at yahoo.com
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