Mathematica Asked on December 26, 2021
I was trying to find the range of a function I obtained in some context. The code is as follows
FunctionRange[{1/2 (1 - Sqrt[-1 + 4 Abs[x]] Sqrt[-1 + 4 Abs[z]]), 0 < Abs[x] < 1/4 && 0 < Abs[z] < 1/4}, {Abs[x], Abs[z]}, y]
The above code when executed gives False. What is the meaning of false and how to find the range of function in this case?
What is the meaning of false and how to find the range of function in this case?
The default for domain is Reals
When it returns False
it means there is no range in the reals.
FunctionRange[{1/2 (1 - Sqrt[-1 + 4 Abs[x]] Sqrt[-1 + 4 Abs[z]]),
0 < Abs[x] < 1/4 && 0 < Abs[z] < 1/4}, {Abs[x],
Abs[z]}, y]
(*False*)
Change to complex
FunctionRange[{1/2 (1 - Sqrt[-1 + 4 Abs[x]] Sqrt[-1 + 4 Abs[z]]),
0 < Abs[x] < 1/4 && 0 < Abs[z] < 1/4}, {Abs[x],
Abs[z]}, y, Complexes]
Answered by Nasser on December 26, 2021
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