What is the difference of rational function and rational equality?
Answers
Answer:
Rational functions are those functions that are the division of two polynomials. ... To solve an inequality involving rational functions, we set our numerator and denominator to 0 and solve them separately.
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Example of Rational Equality.
Question:--
What is the difference of rational function and rational equality?
Answer:--
Rational Functions:
A rational function is any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field K.
Examples:
Examples of Rational Functions
The function R(x) = (x^2 + 4x - 1) / (3x^2 - 9x + 2) is a rational function since the numerator, x^2 + 4x - 1, is a polynomial and the denominator, 3x^2 - 9x + 2 is also a polynomial.
Rational Equality:
A rational inequality is an inequality which contains a rational expression. The trick to dealing with rational inequalities is to always work with zero on one side of the inequality. A rational expression changes its sign only at its zeros and its undefined values.
Examples:
Follow above to see the e, g of rational equality.
