How to judge whether the domain is symmetric about the origin? For example: for the function f (x) = 3tan (1 / 2 x - π / 3), when discussing the parity of F (x), why is the domain not symmetric about the origin?
x/2-π/3≠kπ+π/2
x≠2kπ+5π/3
On both sides of x = 0
k=-1,x≠-π/3
k=0,x≠5π/3
It's not the opposite
So it's not symmetrical
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