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If (g(x)=96-6x), when will (g(x)-g(2x)) be (36)?यदि (g(x)=96-6x), तो (g(x)-g(2x)) कब (36) होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x=6\)\(x=6\)
Given \(g(x)=96-6x\), we get \(g(2x)=96-6(2x)=96-12x\). Therefore, \(g(x)-g(2x)=(96-6x)-(96-12x)=6x\). Setting \(6x=36\) gives \(x=6\), so option C is correct. For example, at \(x=5\), the difference would be only \(30\). Exam tip: while finding \(g(2x)\), replace every \(x\) in the function by \(2x\).दिया है \(g(x)=96-6x\)। इसलिए \(g(2x)=96-6(2x)=96-12x\)। अतः \(g(x)-g(2x)=(96-6x)-(96-12x)=6x\)। अब \(6x=36\) रखने पर \(x=6\) मिलता है, इसलिए विकल्प C सही है। \(x=5\) रखने पर अंतर केवल \(30\) होगा। परीक्षा टिप: \(g(2x)\) निकालते समय हर जगह \(x\) के स्थान पर \(2x\) रखिए।
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