Express your answer as a polynomial in standard form.f, of, x, equals, 2, x, squared, plus, 5, x, plus, 6f(x)=2x 2 +5x+6g, of, x, equals, 2, x, plus, 1g(x)=2x+1Find: , left parenthesis, f, circle, g, right parenthesis, left parenthesis, x, right parenthesisFind: (f∘g)(x)
Question
Express your answer as a polynomial in standard form.f, of, x, equals, 2, x, squared, plus, 5, x, plus, 6f(x)=2x 2 +5x+6g, of, x, equals, 2, x, plus, 1g(x)=2x+1Find: , left parenthesis, f, circle, g, right parenthesis, left parenthesis, x, right parenthesisFind: (f∘g)(x)
Solution
Para encontrar , primero debemos entender que esto significa . Vamos a sustituir en la función .
Dado:
Primero, sustituimos en :
Ahora, sustituimos en cada de :
Expandimos y simplificamos: Primero, calculamos :
Luego, sustituimos esto en la función:
Distribuimos los coeficientes:
Combinamos términos semejantes:
Por lo tanto, .
Similar Questions
Express your answer as a polynomial in standard form.f, of, x, equals, 2, x, squared, plus, 3, x, plus, 12f(x)=2x 2 +3x+12g, of, x, equals, 5, x, minus, 6g(x)=5x−6Find: , left parenthesis, g, circle, f, right parenthesis, left parenthesis, x, right parenthesisFind: (g∘f)(x)
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))
Express your answer as a polynomial in standard form.f, of, x, equals, x, squared, plus, 6, x, plus, 8f(x)=x 2 +6x+8g, of, x, equals, minus, 3, x, minus, 10g(x)=−3x−10Find: , left parenthesis, f, circle, g, right parenthesis, left parenthesis, x, right parenthesisFind: (f∘g)(x)
Express your answer as a polynomial in standard form.f, of, x, equals, 5, x, minus, 4f(x)=5x−4g, of, x, equals, x, squared, minus, 3, x, minus, 11g(x)=x 2 −3x−11Find: , left parenthesis, f, circle, g, right parenthesis, left parenthesis, x, right parenthesisFind: (f∘g)(x)
Given the definitions of f, of, xf(x) and g, of, xg(x) below, find the value of left parenthesis, g, circle, f, right parenthesis, left parenthesis, 0, right parenthesis, .(g∘f)(0).f, of, x, equals, 2, x, squared, plus, 2, x, minus, 3f(x)=2x 2 +2x−3g, of, x, equals, minus, 5, x, plus, 3g(x)=−5x+3
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.