we have the equation
[tex]f(x)=\frac{1}{\mleft|x\mright|}[/tex]Verify if the function is odd
we have that
A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f
verify
[tex]f(-x)=\frac{1}{|-x|}=\frac{1}{\mleft|x\mright|}[/tex]that means
f(-x)=f(x)
therefore