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I want to return a different function for any given parameter in order to later calculate a value of the inverse of that function given the parameter as an indeterminate.

That is, I want, for each $d$, to return $f(d)$ that gives me something of this form: $(f(d))(a)=g(d,a)$, to later formally calculate $(f(d))^{-1}(y)=a$.

What I tried is

func[d_]:=Function[{a},g[a,d]]

Where 'g' is a function defined earlier. But calling

f[y_]:=InverseFunction[func[d]][y]

doesn't work, which is what I actually need. Any help would be appreciated.

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  • $\begingroup$ Have you already looked at the three-argument form of InverseFunction[]? $\endgroup$ Feb 7, 2021 at 16:02
  • $\begingroup$ @J. M. I did look at it, but I haven't tried it, since I know that my function is not injective when the other parameter $d$ is not given, so I assume it won't work. $\endgroup$
    – NL1992
    Feb 7, 2021 at 17:05

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