Write $f(x) = (3x^3+|x|)/x$ as a piecewise function (rational function)

Question

Write $f(x) = (3x^3+|x|)/x$ as a piecewise function

I'm really confused with this one can you guys please help me out

Answer 1

$$f(x)=\frac{3x^3+x}{x}=3x^2+1$$ for $x>0$ and $$f(x)=\frac{3x^3-x}{x}=3x^2-1$$ for $x<0$