Respuesta :

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

Ron's work is correct