Question

Which is a rational function??

Answer 1

A.
`y=(x-5)/(2)`

B.
`y=(2)/(x)`

and

D.
`y=x^2-x+4`

Explanation:

A rational function is of the form
`R(x)=(P(x))/(Q(x)) ,Q(x)\\e0` where

`P(x)` and
`Q(x)` are polynomial functions.

Based on this definition, every polynomial function is a rational function.

Hence the rational functions in the options provided are;

A.
`y=(x-5)/(2)`

B.
`y=(2)/(x)`

and

D.
`y=x^2-x+4`

`y=(x-3^x)/(x^2)` is not a rational function because the numerator is not a polynomial function.