If g(x) = [f(2f(x) + 2)]^2 and f(0) = -1, f'(0) = 1, then g'(0) is

MHT CET 2024 Mathematics question

If and , , then is

Answer: (A)

Differentiate using the chain rule: . At : , so and . Hence $g'(0)

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Question ID VK-099705