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If \(f(x)=x+4\) and \(g(x)=2x-3\), what is the value of \((f+g)(5)\)?यदि \(f(x)=x+4\) और \(g(x)=2x-3\) हैं, तो \((f+g)(5)\) का मान क्या होगा?
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Correct answer:सही उत्तर: 1616
The sum of two functions is defined by \((f+g)(x)=f(x)+g(x)\). Thus, \(f(5)=5+4=9\) and \(g(5)=2(5)-3=7\), so \((f+g)(5)=9+7=16\). Exam tip: either add the two function values or first simplify to \((f+g)(x)=3x+1\).दो फलनों का योग \((f+g)(x)=f(x)+g(x)\) होता है। इसलिए \(f(5)=5+4=9\) और \(g(5)=2(5)-3=7\), अतः \((f+g)(5)=9+7=16\)। परीक्षा-युक्ति: पहले दोनों फलनों के मान निकालकर उन्हें जोड़ें, या सीधे \((f+g)(x)=3x+1\) का उपयोग करें।
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