Determine whether the given is a rational function, a rational equation, a rational inequality or none of these.

Question

1. y=5x^3-2x+1
2. 8/x-8 = x/2x-1
3. √x-2=4
4. x-1/x+1=x^2
5. $P (7x^3-4√x+1)/Q (x^2+3) $
6. 6x-5/x+3≥0

My answers: 1. Rational equation 2. Rational equation 3. None of these 4. Rational equation 5. Rational function 6. Rational inequality

Please correct me if I have any mistake. I also wonder how f(x)=6 -x+3/x^2-5 is considered a rational function, given that the denominator and numerator are not polynomials.