Question
Is the given relation a function? Give reasons for your answer:
$\text{g}=\big\{\text{n}, \frac{1}{\text{n}}\big\},$ | n is a positive integer
$\text{g}=\big\{\text{n}, \frac{1}{\text{n}}\big\},$ | n is a positive integer
✓
Answer
We have, $\text{g}=\big\{\text{n}, \frac{1}{\text{n}}\big\},$ | n is a positive integer}
For n, it is a positive integer and $\frac{1}{\text{n}}$ is unique and distinct. Therefore,every element in the domain has unique image. So, it is a function.
For n, it is a positive integer and $\frac{1}{\text{n}}$ is unique and distinct. Therefore,every element in the domain has unique image. So, it is a function.
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