Problem

Find the domain and range of the relation \(y = \frac{1}{x}\)

Solution

Step 1 :The domain of a relation is the set of all possible inputs (x-values). In this case, since we cannot divide by zero, the domain of the relation is all real numbers except zero. So, the domain is \(x \neq 0\).

Step 2 :The range of a relation is the set of all possible outputs (y-values). In this case, since we cannot get zero in the output (there is no real number that we can divide 1 by to get zero), the range of the relation is all real numbers except zero. So, the range is \(y \neq 0\).

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Source: https://solvelyapp.com/problems/5z6lrOifPB/

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