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If \(f(x)=|x+1|-3\), what is the minimum value of \(f(x)\)?यदि \(f(x)=|x+1|-3\), तो \(f(x)\) का न्यूनतम मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -3-3
For every real \(x\), \(|x+1|\geq 0\). Its minimum value is \(0\), attained when \(x=-1\). Hence, the minimum value of \(f(x)=|x+1|-3\) is \(0-3=-3\). Exam tip: An absolute-value expression has minimum value \(0\) before any constant is added or subtracted.किसी भी वास्तविक \(x\) के लिए \(|x+1|\geq 0\) होता है। इसका न्यूनतम मान \(0\) तब प्राप्त होता है जब \(x=-1\)। इसलिए \(f(x)=|x+1|-3\) का न्यूनतम मान \(0-3=-3\) है। परीक्षा-युक्ति: \(|x-a|\) का न्यूनतम मान \(0\) होता है।
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