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

asked Dec 14, 2021 182k views

5 votes

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

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5 votes

Answer:

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

Explanation:

Factor and simplify.

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

Avni answered Dec 17, 2021