किस विकल्प में \(f:\mathbb{R}\to\mathbb{R}\) पूरे \(\mathbb{R}\) पर फलन नहीं बनेगा?
Which option will not define a function \(f:\mathbb{R}\to\mathbb{R}\) on all of \(\mathbb{R}\)?
Explanation opens after your attempt
Correct Answer
D. (f(x)=\sqrt{x-5})
Concept
The expression \(\sqrt{x-5}\) is real only when \(x\ge5\). A function on all of \(\mathbb{R}\) needs a value for every real input.
Why this answer is correct
The correct answer is D. (f(x)=\sqrt{x-5}). The expression \(\sqrt{x-5}\) is real only when \(x\ge5\). A function on all of \(\mathbb{R}\) needs a value for every real input.
Exam Tip
\(\sqrt{x-5}\) वास्तविक तभी है जब \(x\ge5\) हो। पूरे \(\mathbb{R}\) पर फलन के लिए हर वास्तविक इनपुट पर मान चाहिए।
Login to save your score, XP, coins and progress.