CODEWITHSUNDEEP
wolfram-mathematica
Rain
Rain

Reputation: 375

defining functions on a chosen range, Mathematica

Is there a way to define a function on a specific domain in mathematica? I need this because I want to invert a function which is only monotonic on a specific domain.
For example:

 f[x_]:=x^2
 g[x_]:=InverseFunction[f][x]

will give me $Failed report. This is because the parabolic function is only monotonic on x>0 or x<0. Is there a way to specify this when defining the function?

Thanks!

Upvotes: 2

Views: 2552

Answers (1)

Chris Degnen
Chris Degnen

Reputation: 8655

This works for your example.

f[x_ /; x != 0] := x^2 
g[y_] := InverseFunction[f][y]
Plot[g[z], {z, -2, 2}]

enter image description here

Upvotes: 3

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