higueramaythe higueramaythe
  • 20-10-2021
  • Mathematics
contestada

[tex]f(x)=x^{2} -3x-10[/tex]

Respuesta :

grizzlywinter232
grizzlywinter232 grizzlywinter232
  • 22-10-2021

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)

Step-by-step explanation:

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