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composition of functions?

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composition of functions?

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Solution

Claro, aquí tienes una explicación paso a paso sobre la composición de funciones:

  1. Definición: La composición de funciones es una operación que toma dos funciones f f y g g y produce una nueva función h h tal que h(x)=f(g(x)) h(x) = f(g(x)) . Esto se denota como (fg)(x) (f \circ g)(x) .

  2. Notación: Si tienes dos funciones f:AB f: A \rightarrow B y g:BC g: B \rightarrow C , la composición de f f y g g se escribe como (gf)(x) (g \circ f)(x) , lo que significa que primero aplicas f f y luego aplicas g g al resultado de f f .

  3. Paso 1 - Evaluar g(x) g(x) : Primero, tomas el valor de x x y lo introduces en la función g g . Esto te dará un valor intermedio, digamos y y .

    Ejemplo: Si g(x)=2x+3 g(x) = 2x + 3 y x=1 x = 1 , entonces g(1)=2(1)+3=5 g(1) = 2(1) + 3 = 5 .

  4. Paso 2 - Evaluar f(y) f(y) : Luego, tomas el resultado (

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