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If \(f(x)=2x^2\) and \(g(x)=x^2+5\), what is \((f-g)(x)\)?यदि \(f(x)=2x^2\) और \(g(x)=x^2+5\) हैं, तो \((f-g)(x)\) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x^2-5\)\(x^2-5\)
By definition, \((f-g)(x)=f(x)-g(x)\). Substituting the given functions gives \(2x^2-(x^2+5)=2x^2-x^2-5=x^2-5\), so option A is correct.परिभाषा के अनुसार, \((f-g)(x)=f(x)-g(x)\)। दिए गए फलनों के मान रखने पर \(2x^2-(x^2+5)=2x^2-x^2-5=x^2-5\) मिलता है, इसलिए विकल्प A सही है।
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