In the world of math, some things are not just wrong; they are impossible. They are 'undefined.'

The most famous undefined operation is division by zero.

Why? Think about it. 12 / 3 = 4 because 4 * 3 = 12.

So what is 12 / 0? What number times 0 equals 12? Nothing. It's impossible. The question itself is broken.

Division by zero is a mathematical black hole. It's a question with no logical answer.

When you see an expression that could lead to division by zero, you must identify the 'forbidden values' for your variable.

For the expression 1/(x-2), the value x=2 is forbidden, because it would make the denominator zero.

On a graph, this forbidden value often shows up as an 'asymptote' - an invisible wall the graph can never cross.

Understanding 'undefined' isn't just about a rule. It's about respecting the logical limits of mathematics.

It's knowing that some questions are so broken, the only valid answer is 'that question makes no sense.'