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Which of the following functions gives a real value for every real number x?निम्नलिखित में से कौन-सा फलन प्रत्येक वास्तविक संख्या x के लिए वास्तविक मान देता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(f(x)=x^2+1\)\(f(x)=x^2+1\)
Since \(x^2\) is defined and real for every real x, \(x^2+1\) is also real for all real inputs. In contrast, \(\sqrt{x-1}\) needs x≥1. Exam tip: check input restrictions such as roots, denominators and logs.\(x^2\) प्रत्येक वास्तविक x के लिए परिभाषित और अऋणात्मक होता है, इसलिए \(x^2+1\) भी हमेशा वास्तविक है। \(\sqrt{x-1}\) के लिए x≥1 चाहिए। परीक्षा टिप: हर विकल्प की प्रतिबंधित शर्त जाँचें।
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