If f(x) = cases x 2 - 1, & 0 x < 1 [1mm] 1 2 , & 1 x < 2 cases g(x) = (2x + 1)(x - k) + 3, 0 x then g[f(x)], will be continuous at x = 1 if k is equal to

MHT CET Mathematics question

If , then , will be continuous at if is equal to

Answer: (A)

As , , while ; so is continuous at iff \frac{1}{2}$) =

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Question ID VK-028271