What is an undefined rational expression?
When the denominator equals 0
An undefined rational expression is an expression in which the denominator evaluates to zero. In other words, it is an expression that cannot be simplified or evaluated because the denominator becomes zero, which is an undefined mathematical operation.
For example, consider the rational expression:
f(x) = (x-2)/(x-2)
If we plug in x = 2, we get:
f(2) = (2-2)/(2-2) = 0/0
In this case, the denominator evaluates to zero, which makes the expression undefined. This tells us that there is a point of discontinuity at x = 2.
It is important to identify undefined rational expressions when working with algebraic expressions and equations because they can lead to mathematical errors and incorrect solutions.
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