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Simple question about inverse of a function
 To: mathgroup at smc.vnet.net
 Subject: [mg122502] Simple question about inverse of a function
 From: Mikael <mikaen.anderson.1969 at gmail.com>
 Date: Sun, 30 Oct 2011 04:22:58 0500 (EST)
 Deliveredto: lmathgroup@mailarchive0.wolfram.com
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]>1x^(1/theta)}}
but I wonder what is the correct way of specifying assumptions on t and theta to make the InverseFunction work. Thanks.
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