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If \(f(x)=x-3\) and \(g(x)=x+5\), what is the value of \((fg)(0)\)?यदि \(f(x)=x-3\) और \(g(x)=x+5\) हैं, तो \((fg)(0)\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -15-15
Here, \((fg)(x)\) denotes the product \(f(x)g(x)\), not the composition of the functions. Thus, \(f(0)=-3\) and \(g(0)=5\), so \((fg)(0)=f(0)g(0)=(-3)(5)=-15\). Exam tip: For \((fg)(a)\), find the values of both functions at \(a\) and then multiply them.यहाँ \((fg)(x)\) का अर्थ \(f(x)g(x)\) है, न कि फलनों का संयोजन। अतः \(f(0)=-3\) और \(g(0)=5\), इसलिए \((fg)(0)=f(0)g(0)=(-3)(5)=-15\)। परीक्षा टिप: \((fg)(a)\) में पहले दोनों फलनों के \(a\) पर मान निकालकर उनका गुणन करें।
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