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If (g(x)=144-8x), when will (g(x)-g(2x)) be (64)?यदि (g(x)=144-8x), तो (g(x)-g(2x)) कब (64) होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x=8\)\(x=8\)
Given \(g(x)=144-8x\), we get \(g(2x)=144-8(2x)=144-16x\). Therefore, \(g(x)-g(2x)=(144-8x)-(144-16x)=8x\). Setting \(8x=64\) gives \(x=8\), so option C is correct. For \(x=7\), the difference is \(56\), not 64. Exam tip: while finding \(g(2x)\), substitute the entire expression \(2x\) for \(x\).दिया है \(g(x)=144-8x\)। इसलिए \(g(2x)=144-8(2x)=144-16x\)। अतः \(g(x)-g(2x)=(144-8x)-(144-16x)=8x\)। अब \(8x=64\) से \(x=8\) मिलता है, इसलिए सही विकल्प C है। \(x=7\) रखने पर अंतर \(56\) होगा, 64 नहीं। परीक्षा टिप: \(g(2x)\) में \(x\) के स्थान पर पूरा \(2x\) रखें।
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