यदि \(f:{1,2,3,4,5,6}\to{1,2,3,4,5,6}\) को (f(x)=x) जब (x) सम हो और (f(x)=7-x) जब (x) विषम हो, तो परिसर क्या है?
If \(f:{1,2,3,4,5,6}\to{1,2,3,4,5,6}\) is given by (f(x)=x) when (x) is even and (f(x)=7-x) when (x) is odd, what is the range?
Explanation opens after your attempt
Correct Answer
A. ({2,4,6})
Concept
For odd (x), (7-x) gives even values, and for even (x), (x) itself is obtained. Hence the obtained values are only ({2,4,6}).
Why this answer is correct
The correct answer is A. ({2,4,6}). For odd (x), (7-x) gives even values, and for even (x), (x) itself is obtained. Hence the obtained values are only ({2,4,6}).
Exam Tip
विषम (x) पर (7-x) सम मान देता है और सम (x) पर (x) ही मिलता है। इसलिए प्राप्त मान केवल ({2,4,6}) हैं।
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