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If \(f(x)=2x+1\) and \(g(x)=x^2-1\), what is the value of \((f+g)(2)\)?यदि \(f(x)=2x+1\) और \(g(x)=x^2-1\) हैं, तो \((f+g)(2)\) का मान क्या है?
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Correct answer:सही उत्तर: 88
The sum of the two functions is \((f+g)(x)=f(x)+g(x)=(2x+1)+(x^2-1)=x^2+2x\). Hence, \((f+g)(2)=2^2+2(2)=4+4=8\), so option A is correct. Remember that \((f+g)(a)\) is found by adding the values of both functions at \(a\).दो फलनों का योग \((f+g)(x)=f(x)+g(x)=(2x+1)+(x^2-1)=x^2+2x\) होता है। इसलिए \((f+g)(2)=2^2+2(2)=4+4=8\), अतः विकल्प A सही है। ध्यान रखें कि \((f+g)(a)\) निकालने के लिए दोनों फलनों का \(a\) पर मान जोड़ना होता है।
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