All that glitters is not gold(proof using mathematics)funny mathematics

Proof:consider the following three functions Check whether they are identical

When we perform simple algebraic operations we can easily see that three of them are same that’s an illusion . Really the domain part for three of them are different . First for function f(x) , x values can’t be negative so it’s domain is x>=0 Second for function g(x), x value can’t be zero( since there is a hole at x=0) But for the third function all the values are allowed. we can see this difference clearly when we saw it in terms of graphically

So don’t judge by external appearances and fall into a trap. Moral of the story : Think in terms of mathematics before you take any action (hahahaha)