(6x+3)/(x-2)
Definition
This expression represents the given function f(x)=(6x+3)/(x-2), which consists of polynomial terms in both the numerator and denominator.
Analogy
Consider this expression as two groups of people, where the numerator is one group with 6 members plus 3 additional friends, and the denominator is another group with x members minus 2 who couldn't make it to the gathering.
Related terms
Rational Function: A ratio of two polynomials, such as this expression (6x+3)/(x-2).
Asymptote: A line that a graph approaches but never touches or crosses; rational functions often have vertical asymptotes when their denominators equal zero.
Horizontal Asymptote: A horizontal line that indicates how a function behaves as its input becomes infinitely large or small.
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