Let f : R ^+ R ^+ is an invertible function such that f'(x) 0 and f''(x) 0 ; x . If f(1) = 1 and f(5) = 5 and area bounded by y = f(x) , x -axis, x = 1 and x = 5 is 8 sq. units. Then the area bounded by y = f⁻¹(x) , x -axis, x = 1 and x

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Let f : R ^+ R ^+ is an invertible function such that f'(x) > 0 and f''(x) > 0 ; x . If f(1) = 1 and f(5) = 5 and area bounded by y = f(x) , x -axis, x = 1 and x = 5 is 8 sq. units. Then the area bounded by y = f⁻¹(x) , x -axis, x = 1 and x = 5 is:

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Correct answer: B. 16

Let f : R ^+ R ^+ is an invertible function such that f'(x) > 0 and f''(x) > 0 ; x . If f(1) = 1 and f(5) = 5 and area bounded by y = f(x) , x -axis, x = 1 and x = 5 is 8 sq. units. Then the area bounded by y = f⁻¹(x) , x -axis, x = 1 and x = 5 is:

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