Continuity and DifferentiabilityHard

Question

′f′ is a continuous function on the real line. Given that x2 + (f(x) - 2) x - √3 - 3 = 0. Then the value of f(√3) is -

Options

A.
B.2(1- √3)
C.zero
D.cannot be determined

Solution

(x - √3) f(x) = - x2 + 2x - 2  √3 + 3
f(x) =
= = 2 - √3 - x

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