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If the relation f(x)={(1",",x in Q),(2",...

If the relation `f(x)={(1",",x in Q),(2",",x notin Q):}` where Q is set of rational numbers, then find the value `f(pi)+f((22)/(7))`.

Text Solution

Verified by Experts

The correct Answer is:
3
` pi` is irrational number, so `f(pi)=2.`
`(22)/(7)` is rational number. So, `f((22)/(7))=1.`
` :. f(pi)+f((22)/(7))=2+1=3`
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