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UkoKoshka [18]
3 years ago
14

QUESTION 20

Mathematics
1 answer:
Elodia [21]3 years ago
8 0

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) f(x) =-2\cdot x ^{2}-6 Dado

2) g(x) = x+4 Dado

3) (f-g)(x) = (-2\cdot x^{2}-6)-(x+4) Definición de resta de funciones.

4) (f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)        (-1)\cdot a = -a

5) (f-g)(x) = (-2\cdot x^{2}-6) + (-x-4) Propiedad distributiva/(-1)\cdot a = -a

6) (f-g)(x) = -2\cdot x^{2}-x+(-6-4) Propiedad conmutativa

7) (f-g) (x) = -2\cdot x^{2}-x-10 Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en x = -5:

(f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10

(f-g)(-5) =-55

Por ende, la respuesta correcta es B.

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