benjamincounter02 benjamincounter02
  • 20-10-2020
  • Mathematics
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given f(x)=3x^2+8 and g(x)=2x-3 find f(g(x))

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Wolfzach88
Wolfzach88 Wolfzach88
  • 20-10-2020

Answer:

12x²–36x+35

Step-by-step explanation:

  • f(g(x))=3(2x–3)²+8
  • first you factor (2x-3)² or (2x-3)(2x-3)
  • 2x•2x=4x²
  • 2x•-3=-6x
  • 2x•-3=-6x
  • -3•-3=9
  • put it together you get 4x²–6x–6x+9 simplify to 4x²–12x+9
  • next you do 3(4x²–12x+9)+8
  • 3•4x²=12x²
  • 3•-12x=-36x
  • 3•9=27
  • so you get (12x²–36x+27)+8
  • finally 27+8=35
  • so you get 12x²–36x+35
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