Question

f is 1-1, if f(x) is odd, is f(inverse)(x) also odd

Answer 1

of course. you need a proof?

Answer 2

yes i do

Answer 3

that's what i hate- proving obvious things

Answer 4

true that

Answer 5

\[f(x)=y\iff f^{-1}(y)=x\] so if
\[y=f(x)\] then
\[f^{-1}(-y)=f^{-1}(-f(x))=f^{-1}(f(-x))=-x=-f(y)\]

Answer 6

o ok. thx a lot