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If \(f(x)=x^2-4\) and \(g(x)=|x|-2\), what is the value of \((f-g)(2)\)?यदि \(f(x)=x^2-4\) और \(g(x)=|x|-2\) हैं, तो \((f-g)(2)\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 00
Substituting \(x=2\), we get \(f(2)=2^2-4=0\) and \(g(2)=|2|-2=0\). Therefore, \((f-g)(2)=f(2)-g(2)=0-0=0\), so option A is correct. Remember that \((f-g)(x)\) means the difference of the two functions, not their sum.पहले \(x=2\) रखने पर \(f(2)=2^2-4=0\) और \(g(2)=|2|-2=0\) प्राप्त होते हैं। इसलिए \((f-g)(2)=f(2)-g(2)=0-0=0\), अतः विकल्प A सही है। ध्यान रखें कि \((f-g)(x)\) का अर्थ दोनों फलनों का अंतर है, योग नहीं।
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