juticeprivette554 juticeprivette554
  • 09-07-2022
  • Mathematics
contestada

Find (f-g)(x) where f(x) = -x^2, g(x) = -(x+4)²

Respuesta :

johnny837
johnny837 johnny837
  • 09-07-2022

Answer:

8x + 16

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

g(x) = -(x+4)(x+4)

= -(x² + 4x + 4x + 16)

= -(x² + 8x + 16)

= -x² - 8x - 16

1) Subtract the two functions.

= (-x²) - (-x² - 8x - 16)

= -x² + x² + 8x + 16

= 8x + 16

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