EliotQuest EliotQuest
  • 13-05-2021
  • Mathematics
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Function Composition:
Let the function [tex]f(x)= 3x + 2[/tex] and [tex]g(x) = \frac{x+3}{2x-10}[/tex] , determine:

Function Composition Let the function texfx 3x 2tex and texgx fracx32x10tex determine class=

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mhanifa
mhanifa mhanifa
  • 13-05-2021

Answer:

Given

  • f(x) = 3x + 2
  • g(x) = (x + 3) / (2x - 10)

#1

  • g · f(x) =
  • g(f(x)) =
  • (3x + 2 + 3)/ (2(3x + 2) - 10) =
  • (3x + 5) / (6x - 6)

#2

  • f · g(x) =
  • f(g(x)) =
  • 3[(3x + 2) / (2x - 10)] + 2 =
  • (9x + 6) / (2x - 10) + 2 =
  • (9x + 6 + 4x - 20)/ (2x - 10) =
  • (13x - 14) / (2x - 10)

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