Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsCompositeMedium2 minQB

MathematicsMediumsingle choice

If $f (x) = (1 - x^{n})^{1/ n}, 0 < x < 1, n$ being an odd positive integer and $h (x) = f (f (x))$ , then $h^{'} (1/2)$

Answer:

Solution:

$h (x) = (1 - f (x)^{n})^{\frac{1}{n}} = (1 - (1 - x^{n})^{\frac{1}{n}} = x ∴ h^{1} (\frac{1}{2}) = 1$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Composite

⏱ 2mℹ️ Source: QB

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