Reciprocals

When am I allowed to turn an equation or a function into it's reciprocal? Is it like multiplying by one? Can I do it any time?

You can do it whenever you want except when it ends up dividing by 0. And it's not like multiplying by one, it changes the function. y = x DOES NOT EQUAL y = 1/x

You can do it anytime, but like everything else if you do it to one side of the equation you have got to do it to the other side of the equation.

Keep the balance.

Quote:

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Originally Posted by Lord Voldemort

You can do it whenever you want except when it ends up dividing by 0. And it's not like multiplying by one, it changes the function. y = x DOES NOT EQUAL y = 1/x

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If y = x than this is false: y = 1/x. However, this is true: y = x/1, wouldn't this also be true? y = 1/-x

Thanks!