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If (g(x)=300-15x), when will (g(x)-g(5x)) be (180)?यदि (g(x)=300-15x), तो (g(x)-g(5x)) कब (180) होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x=3\)\(x=3\)
Given \(g(x)=300-15x\), we get \(g(5x)=300-15(5x)=300-75x\). Hence, \(g(x)-g(5x)=(300-15x)-(300-75x)=60x\). Setting \(60x=180\) gives \(x=3\). Therefore, option B is correct. For example, \(x=2\) gives a difference of only \(120\), not \(180\). Exam tip: while finding \(g(5x)\), replace every \(x\) in the rule by \(5x\).दिया है \(g(x)=300-15x\)। अतः \(g(5x)=300-15(5x)=300-75x\)। इसलिए \(g(x)-g(5x)=(300-15x)-(300-75x)=60x\)। अब \(60x=180\) से \(x=3\) मिलता है। इसलिए विकल्प B सही है। \(x=2\) रखने पर अंतर केवल \(120\) होगा, \(180\) नहीं। परीक्षा टिप: \(g(5x)\) में हर जगह \(x\) के स्थान पर \(5x\) रखें।
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