Let f : R A = y , | , 0 y < 2 be a function such that f(x) = ^ -1 (x^2 + x + k), where k is a constant. The value of k for which f is an onto function, is

JEE Advanced Mathematics question

Let be a function such that , where is a constant. The value of for which is an onto function, is

Answer: (C)

is increasing and maps onto . So the range of is exactly iff the range of is exactly . Now

g(x) = (x + + k - 14,

so the range of is \frac$14,

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Question ID VK-109154