Problem

Determine if the function \( f(x) = \frac{x^2 + 2x + 1}{x^2 - 1} \) is a rational function.

Solution

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 \( f(x) = \frac{x^2 + 2x + 1}{x^2 - 1} \) is the polynomial \(x^2 + 2x + 1\), and the denominator is the polynomial \(x^2 - 1\).

Step 3 :Therefore, the function \( f(x) = \frac{x^2 + 2x + 1}{x^2 - 1} \) is a rational function.

From Solvely APP
Source: https://solvelyapp.com/problems/YEcV7pLAF1/

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