Answer:
1.Rational Function:
Any function that can be represented as the ratio of two polynomial functions is referred to as a rational function. The coefficients of the polynomials, as well as the values taken by the function, are not always rational.
Any function with only one variable, x, is referred to as a rational function if and only if it can be represented as: f(x)=\frac{P(x)}{Q(x)}f(x)=
Q(x)
P(x)
where P and Q are polynomial functions of x and Q(x)≠0
Rational Equation
A rational equation is one in which the numerator and denominator of at least one fraction are polynomials, \frac{P(x)}{Q(x)}
Q(x)
P(x)
. These fractions might be on one or both sides of the equation.
Reducing the fractions to a common denominator and then solving the numerator equality is a popular technique to solve these equations. While doing so, we must keep in mind cases where indeterminate forms, such as \frac{0}{0}
0
0
or \frac{1}{0}
0
1
.
2.Rational equation :- A rational equation is an equation containing at least one fraction whose numerator and denominator are polynomials. Rational inequality:- A rational inequality is an inequality which contains a rational expression.
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Step-by-step explanation:
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