Problem

Determine if the function f(x)=x2+2x+1x21 is a rational function.

Answer

Expert–verified
Hide Steps
Answer

Therefore, the function f(x)=x2+2x+1x21 is a rational function.

Steps

Step 1 :A rational function is any function which can be defined by a rational fraction, i.e., an algebraic fraction such that both the numerator and the denominator are polynomials.

Step 2 :The numerator of the function f(x)=x2+2x+1x21 is the polynomial x2+2x+1, and the denominator is the polynomial x21.

Step 3 :Therefore, the function f(x)=x2+2x+1x21 is a rational function.

link_gpt