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If (L(t)=3t+14), what is (L(4t)-L(t))?यदि (L(t)=3t+14), तो (L(4t)-L(t)) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(9t\)\(9t\)
Given \(L(t)=3t+14\), we get \(L(4t)=3(4t)+14=12t+14\). Therefore, \(L(4t)-L(t)=(12t+14)-(3t+14)=9t\). Hence, \(9t\) is correct. \(12t\) is only part of \(L(4t)\); it does not account for subtracting \(L(t)\). Exam tip: when evaluating a function at \(4t\), replace every occurrence of \(t\) with \(4t\).दिया है \(L(t)=3t+14\)। इसलिए \(L(4t)=3(4t)+14=12t+14\)। अब \(L(4t)-L(t)=(12t+14)-(3t+14)=9t\)। अतः सही विकल्प \(9t\) है। \(12t\) केवल \(L(4t)\) है, उसमें से \(L(t)\) घटाया नहीं गया है। परीक्षा टिप: फलन में \(4t\) रखने पर \(t\) के स्थान पर हर जगह \(4t\) लिखें।
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