godlyduo62 godlyduo62
  • 04-02-2021
  • Mathematics
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F(x) = 3x^2 + 6x - 5
g(x) = 4x^3 – 5x^2 + 6
Find (f +g) (c)

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sqdancefan
sqdancefan sqdancefan
  • 04-02-2021

9514 1404 393

Answer:

  4c^3 -2c^2 +6c +1

Step-by-step explanation:

We can substitute c for x either before or after we combine the functions.

  (f +g)(c) = f(c) +g(c)

  (f +g)(c) = (3c^2 +6c -5) +(4c^3 -5c^2 +6)

  (f +g)(c) = 4c^3 +c^2(3-5) +6c +(-5+6) . . . . group like terms

  (f +g)(c) = 4c^3 -2c^2 +6c +1

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