corrina79 corrina79
  • 21-05-2021
  • Mathematics
contestada

1S
If f(x) = -x2 – 1, and
g(x) = x + 5, then
f(g(x)) = [ ? ]x2+[ ]x+[ ]

Respuesta :

TheSection
TheSection TheSection
  • 21-05-2021

We are given:

f(x) = -x² - 1

g(x) = x + 5

Finding f(g(x)):

because g(x) = x+5

f(g(x)) = f(x+5)

f(x+5) = -(x+5)² - 1

f(x+5) = -(x² + 25 + 10x) - 1

f(x+5) = -x² - 25 - 10x - 1

f(x+5) = -x² - 10x - 26

comparing with the question,

first blank = (-1)

second blank = (-10)

third blank = (-26)

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