Question

Curve sketching

y=x/x^2+1 y=x^2/x^2+3 y=x^2+1/x^2-4 y=3x/x^2-1 f(x)=x-3/x f(x)=x+(32/x^2)

f(x)=x^3/x^2-9 y=x^2-6x+12/x-4 y=-x^2-4x-7/x+3 y=x(sqrt4-x) g(x)=x(sqrt9-x^2) y=3x^2/3-2x