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Quiz: Funciones racionales y operaciones

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Evaluación sobre funciones racionales

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Ecuador

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Quiz: Funciones racionales y operaciones
 

Quiz: Funciones racionales y operacionesOnline version

Evaluación sobre funciones racionales

by Ángel Geovanny Acaro M.
1

Dominio de la función (2x+1)/(x-3) es:

2

Suma de (1/x) + (2/(x+1)) resulta en:

3

Producto de ((x-2)/(x+3)) y ((x+1)/(x-4)) es:

4

División de ((x^2-1)/(x-2)) ÷ ((x-3)/(x+5)) da:

5

Simplifica (x^2-9)/(x-3) →

6

Dominio de f(x) = (x^2-4)/(x^2-1) es:

7

Verticales de f(x) = (x+1)/(x^2-4) son en x:

8

Suma de (x-4)/(x+2) + 3/(x-2) resulta en:

9

Dominio de f(x)=(x+1)/(x) es:

10

¿Cómo te sientes ahora que se terminó el tercer trimestre?

Respuesta escrita

Explicación

El denominador no puede ser 0, por eso x ≠ 3.

Common denominator x(x+1); se obtiene (x+1 + 2x)/(x(x+1)).

Producto de numeradores sobre producto de denominadores.

Dividir por una fracción multiplica por su inversa.

Factor x^2-9 = (x-3)(x+3); se cancela x-3.

El denominador es x^2-1=(x-1)(x+1); separa estos valores.

Denominador factoriza a (x-2)(x+2); así son x=±2.

Sumas con denominadores comunes: (x-4)(x-2)+3(x+2).

Denominador x^2-5x+6 = (x-2)(x-3).

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