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If (L(t)=5t+23), what is (L(4t)-L(t))?यदि (L(t)=5t+23), तो (L(4t)-L(t)) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(15t\)\(15t\)
Given \(L(t)=5t+23\), we get \(L(4t)=5(4t)+23=20t+23\). Therefore, \(L(4t)-L(t)=(20t+23)-(5t+23)=15t\). Hence, \(15t\) is correct. \(20t\) is only the linear term in \(L(4t)\); \(L(t)\) still has to be subtracted. Exam tip: when evaluating a function at \(4t\), replace every occurrence of \(t\) by \(4t\).दिया है \(L(t)=5t+23\)। इसलिए \(L(4t)=5(4t)+23=20t+23\)। अब \(L(4t)-L(t)=(20t+23)-(5t+23)=15t\)। अतः सही उत्तर \(15t\) है। \(20t\) केवल \(L(4t)\) का रैखिक पद है; इसमें से \(L(t)\) घटाना अभी बाकी होता है। परीक्षा टिप: फलन में \(4t\) रखने पर \(t\) के प्रत्येक स्थान पर \(4t\) प्रतिस्थापित करें।
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