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If (p(x)=ax+6) and (p(p(0))=48), what is (a)?यदि (p(x)=ax+6) और (p(p(0))=48), तो (a) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 77
First, \(p(0)=a\cdot0+6=6\). Hence, \(p(p(0))=p(6)=6a+6\). Given \(6a+6=48\), we get \(6a=42\) and therefore \(a=7\). If \(a=8\), then \(p(6)=54\), not 48. Exam tip: In a composite expression such as \(p(p(0))\), evaluate the inner function first.पहले \(p(0)=a\cdot0+6=6\) होगा। इसलिए \(p(p(0))=p(6)=6a+6\)। दिया है कि \(6a+6=48\), अतः \(6a=42\) और \(a=7\)। विकल्प 8 लेने पर \(p(6)=54\) मिलता है, जो 48 नहीं है। परीक्षा टिप: संयुक्त फलन \(p(p(0))\) में पहले भीतर वाले फलन \(p(0)\) का मान निकालें।
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