michellelynn03
michellelynn03 michellelynn03
  • 27-07-2019
  • Mathematics
contestada

f(x) = 2x^2 - 5x + 3
g(x) = 4x^2 - 12x + 9
find (f/g) (x)

fx 2x2 5x 3 gx 4x2 12x 9 find fg x class=

Respuesta :

jimrgrant1 jimrgrant1
  • 27-07-2019

Answer:

D

Step-by-step explanation:

Factorise the numerator and denominator

2x² - 5x + 3 = (x - 1)(2x - 3)

4x² - 12x + 9 = (2x - 3)²

Hence

[tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x^2-5x+3}{4x^2-12x+9}[/tex]

= [tex]\frac{(x-1)(2x-3)}{(2x-3)^2}[/tex]

Cancel the factor (2x - 3) on the numerator/denominator leaving

[tex]\frac{x-1}{2x-3}[/tex] → D

Answer Link
900320771
900320771 900320771
  • 25-05-2021

Answer:

16x^4 - 80x^3 + 138x^2 - 95x + 24.

f(x) = 2x^2 - 5x + 3.

Step-by-step explanation:

Answer Link

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