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If (g(x)=240-12x), when will (g(x)-g(4x)) be (144)?यदि (g(x)=240-12x), तो (g(x)-g(4x)) कब (144) होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x=4\)\(x=4\)
Given \(g(x)=240-12x\), we get \(g(4x)=240-12(4x)=240-48x\). Hence, \(g(x)-g(4x)=(240-12x)-(240-48x)=36x\). Setting \(36x=144\) gives \(x=4\). Therefore, option B is correct. For instance, at \(x=3\), the difference is only \(108\), not \(144\). Exam tip: while finding \(g(4x)\), substitute the entire expression \(4x\) for \(x\).दिया है \(g(x)=240-12x\)। अतः \(g(4x)=240-12(4x)=240-48x\)। इसलिए \(g(x)-g(4x)=(240-12x)-(240-48x)=36x\)। अब \(36x=144\) रखने पर \(x=4\) मिलता है। इसलिए विकल्प B सही है। उदाहरण के लिए, \(x=3\) पर अंतर केवल \(108\) होगा, \(144\) नहीं। परीक्षा टिप: \(g(4x)\) में \(x\) के स्थान पर पूरा \(4x\) रखें।
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