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If \(f(x)=5x+2\) and \(g(x)=x^2\), what is the value of \((f-g)(3)\)?यदि \(f(x)=5x+2\) और \(g(x)=x^2\) हैं, तो \((f-g)(3)\) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 88
The difference of two functions is defined by \((f-g)(x)=f(x)-g(x)\). Thus, \(f(3)=5(3)+2=17\) and \(g(3)=3^2=9\), so \((f-g)(3)=17-9=8\). Reversing the order, as in \((g-f)(3)\), would give \(-8\). Exam tip: Evaluate both functions first and subtract them in the stated order.दो फलनों के अंतर के लिए \((f-g)(x)=f(x)-g(x)\)। इसलिए \(f(3)=5(3)+2=17\) और \(g(3)=3^2=9\), अतः \((f-g)(3)=17-9=8\)। ध्यान रखें कि \((g-f)(3)\) लेने पर उत्तर \(-8\) होगा। परीक्षा-टिप: पहले दोनों फलनों के मान निकालकर दिए गए क्रम में घटाएँ।
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