havenerandrea havenerandrea

03-10-2020
Mathematics

contestada

f(x)=2x²−5x+3
g(x)=4x²−12x+9
Find: (f/g)(x)

Respuesta :

sqdancefan sqdancefan

03-10-2020

Answer:

(f/g)(x) = (x-1)/(2x-3)

Step-by-step explanation:

Factor and simplify.

[tex](f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{2x^2-5x+3}{4x^2-12x+9}=\dfrac{(2x-3)(x-1)}{(2x-3)^2}\\\\\boxed{(f/g)(x)=\dfrac{x-1}{2x-3}}[/tex]

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