Determine whether the given is rational functions or rational equation

Question

Is a rational function or a rational equation or none of these?

• 1.) $y=5x³-2x+1$
• 2.) $g(x)=7x³-4√x+1/x²+3$

Hope you'll help me thanks

Answer 1

A rational function is defined as $f(x) = \frac{P(x)}{Q(x)}$ for any polynomials $P$ and $Q$ (constant polynomials as well). Thus, we see that (1) $\boxed{\text{is a rational function}}$ with $P(x) = 5x^3-2x+1$ and $Q(x) = 1$. We also see that (2) $\boxed{\text{is not a rational function}}$ because it contains square roots.