यदि \(f:{1,2,3,4,5,6,7,8,9}\to{0,1}\) को (f(n)=1) जब (n) (3) से विभाज्य हो और (f(n)=0) अन्यथा दिया गया है, तो (f^{-1}({1})) क्या है?
If \(f:{1,2,3,4,5,6,7,8,9}\to{0,1}\) is given by (f(n)=1) when (n) is divisible by (3) and (f(n)=0) otherwise, what is (f^{-1}({1}))?
Explanation opens after your attempt
Correct Answer
B. ({3,6,9})
Concept
The value (1) occurs only at inputs divisible by (3). Therefore the preimage is ({3,6,9}).
Why this answer is correct
The correct answer is B. ({3,6,9}). The value (1) occurs only at inputs divisible by (3). Therefore the preimage is ({3,6,9}).
Exam Tip
मान (1) उन्हीं इनपुटों पर आता है जो (3) से विभाज्य हैं। इसलिए पूर्वछवि ({3,6,9}) है।
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