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If \(f(x)=3x+2\) and \(g(x)=x^2\), what is the value of \((f+2g)(1)\)?यदि \(f(x)=3x+2\) और \(g(x)=x^2\) हों, तो \((f+2g)(1)\) का मान क्या है?
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Correct answer:सही उत्तर: 77
\((f+2g)(1)=f(1)+2g(1)\). Here, \(f(1)=3(1)+2=5\) and \(g(1)=1^2=1\), so \((f+2g)(1)=5+2(1)=7\). The value 5 results from forgetting the coefficient 2 of \(g(1)\). In an exam, write the rule for the combined function before substituting the value.\((f+2g)(1)=f(1)+2g(1)\)। यहाँ \(f(1)=3(1)+2=5\) और \(g(1)=1^2=1\), इसलिए \((f+2g)(1)=5+2(1)=7\)। विकल्प 5 चुनना \(2g(1)\) को भूलने के कारण गलत है। परीक्षा में पहले संयुक्त फलन का नियम लिखें, फिर मान रखें।
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