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If (L(t)=2t+11), what is (L(3t)-L(t))?यदि (L(t)=2t+11), तो (L(3t)-L(t)) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(4t\)\(4t\)
Given \(L(t)=2t+11\), we get \(L(3t)=2(3t)+11=6t+11\). Therefore, \(L(3t)-L(t)=(6t+11)-(2t+11)=4t\). \(6t\) is part of the value of \(L(3t)\), not the difference. Exam tip: substitute \(3t\) into the function first, then subtract the two expressions using brackets.दिया है \(L(t)=2t+11\)। इसलिए \(L(3t)=2(3t)+11=6t+11\)। अब \(L(3t)-L(t)=(6t+11)-(2t+11)=4t\)। \(6t\) केवल \(L(3t)\) का मान है, अंतर नहीं। परीक्षा टिप: पहले फलन में \(3t\) प्रतिस्थापित करें, फिर कोष्ठक लगाकर दोनों व्यंजकों का घटाव करें।
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