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If (L(t)=4t+19), what is (L(5t)-L(2t))?यदि (L(t)=4t+19), तो (L(5t)-L(2t)) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(12t\)\(12t\)
Given \(L(t)=4t+19\), we get \(L(5t)=4(5t)+19=20t+19\) and \(L(2t)=4(2t)+19=8t+19\). Therefore, \(L(5t)-L(2t)=(20t+19)-(8t+19)=12t\). Note that \(20t\) is only the variable part of \(L(5t)\), not the required difference. Exam tip: evaluate the function at each input separately before subtracting.दिया है \(L(t)=4t+19\)। इसलिए \(L(5t)=4(5t)+19=20t+19\) और \(L(2t)=4(2t)+19=8t+19\)। अतः \(L(5t)-L(2t)=(20t+19)-(8t+19)=12t\)। \(20t\) केवल \(L(5t)\) का मान है, दोनों मानों का अंतर नहीं। परीक्षा टिप: फलन में दिए गए इनपुट को पहले अलग-अलग रखकर सरल कीजिए, फिर घटाइए।
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