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

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Accepted Answer

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.

Answer

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.

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

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