Consider the following commands:
disk[z_] := Abs[z] <= 1
f[z_] := 1/z;
{ComplexRegionPlot[disk[z], {z, 3}],
ComplexRegionPlot[disk[InverseFunction[f][z]], {z, 3}]}
Evaluation of these gives a few errors:
LessEqual::nord: Invalid comparison with ComplexInfinity attempted.
Power::infy: Infinite expression 1/0 encountered.
Power::infy: Infinite expression 1/0 encountered.
LessEqual::nord: Invalid comparison with ComplexInfinity attempted.
In the documentation (Applications ā Mapping Complex Regions) the authors applied Quiet to this last line:
{ComplexRegionPlot[disk[z], {z, 3}, PlotLabel -> z],
Quiet@ComplexRegionPlot[disk[InverseFunction[f][z]], {z, 3},
PlotLabel -> f[z]]}
Is there any problem with those errors one recieves without Quiet? How can I know when it is ok to quiet messages?