EliotQuest EliotQuest

13-05-2021
Mathematics

contestada

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

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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