फलन (f(x)=\frac{1}{\log_{2}x}) का प्रांत क्या है?
What is the domain of (f(x)=\frac{1}{\log_{2}x})?
Explanation opens after your attempt
Correct Answer
A. ( \(0,\infty\)\setminus{1} )
Concept
The logarithm needs (x>0), and the denominator needs \(\log_{2}x\ne 0\). Since \(\log_{2}x=0\) at (x=1), remove (1).
Why this answer is correct
The correct answer is A. ( \(0,\infty\)\setminus{1} ). The logarithm needs (x>0), and the denominator needs \(\log_{2}x\ne 0\). Since \(\log_{2}x=0\) at (x=1), remove (1).
Exam Tip
लघुगणक के लिए (x>0) और हर के लिए \(\log_{2}x\ne 0\) चाहिए। \(\log_{2}x=0\) पर (x=1) हटेगा।
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