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

Create a free account to view solution

View Solution Free
Topic: Continuity and Differentiability·Practice all Continuity and Differentiability questions

More Continuity and Differentiability Questions

If f(a) = 2, f′(a) = 1, g(a) = -1, g′(a) = 2, then the value of is...If y = 3t2 & x = 2t then equals -...If x + | y | = 2 y, then y as a function of x is...If + = c, then is equal to -...Let [.] denotes the greatest integer function and f(x) = [tan2x], then...