Express your answer as a polynomial in standard form.f, of, x, equals, x, squared, plus, x, plus, 6f(x)=x 2 +x+6g, of, x, equals, 3, x, plus, 5g(x)=3x+5Find: , f, of, g, of, xFind: f(g(x))
Question
Express your answer as a polynomial in standard form.f, of, x, equals, x, squared, plus, x, plus, 6f(x)=x 2 +x+6g, of, x, equals, 3, x, plus, 5g(x)=3x+5Find: , f, of, g, of, xFind: f(g(x))
Solution
Claro, vamos a resolver el problema paso a paso.
Primero, recordemos las funciones dadas:
Queremos encontrar .
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Sustituimos en :
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Ahora, sustituimos en la función :
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Expandimos :
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Sustituimos la expansión en la función:
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Simplificamos sumando los términos semejantes:
Por lo tanto, la respuesta es:
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