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If f(x) = x² + 1 and g(x) = x − 4, what is (f ∘ g)(x)?यदि f(x) = x² + 1 और g(x) = x − 4 हैं, तो (f ∘ g)(x) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: x² − 8x + 17x² − 8x + 17
The composition (f ∘ g)(x) means f(g(x)). Substituting g(x) = x − 4 into f gives (x − 4)² + 1 = x² − 8x + 16 + 1 = x² − 8x + 17, so option A is correct.संयोजन (f ∘ g)(x) का अर्थ f(g(x)) है। f में g(x) = x − 4 रखने पर (x − 4)² + 1 = x² − 8x + 16 + 1 = x² − 8x + 17 मिलता है, अतः विकल्प A सही है।
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