Solve for f
f=\frac{sign(x+3)}{x}
x\neq 0
Solve for x
\left\{\begin{matrix}x=-3\text{, }&f=0\\x=\frac{1}{f}\text{, }&f>0\text{ or }f<-\frac{1}{3}\\x=-\frac{1}{f}\text{, }&f>0\text{ and }f<\frac{1}{3}\end{matrix}\right.
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xf=sign(x+3)
The equation is in standard form.
\frac{xf}{x}=\frac{sign(x+3)}{x}
Divide both sides by x.
f=\frac{sign(x+3)}{x}
Dividing by x undoes the multiplication by x.
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