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$If f (x) be a continuous function for all real values of x and satisfies$ $x^{2} + x (f (x) - 2) + 2 \sqrt{3} - 3 - \sqrt{3} f (x) = 0 \forall x \in R then the value of f (\sqrt{3}) is$

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Correct option is D

f3=Ltx→3 x2+2x+23−33−x=21−3

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2023 | www.infinitylearn.com

If f(x) be a continuous function for all real values of x and satisfies x2+x(f(x)−2)+23−3−3f(x)=0∀x∈R then the value of f(3) is

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free study material

$If f (x) be a continuous function for all real values of x and satisfies$ $x^{2} + x (f (x) - 2) + 2 \sqrt{3} - 3 - \sqrt{3} f (x) = 0 \forall x \in R then the value of f (\sqrt{3}) is$