Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsInverseEasy2 minQB

MathematicsEasysingle choice

If $f (x) = x^{101} - 2 x^{11} + 2 x + 1$ and ' $g$ ' be the inverse of ' $f$ ', then $g^{'} (1)$ is equal to

Answer:

Solution:

$g [f (x)] = x$

$\Rightarrow g^{'} [f (x)] \cdot f^{'} (x) = 1$

⇒ on putting $x = 0$

$\Rightarrow g^{'} [f (0)] \cdot f^{'} (0) = 1 \Rightarrow g^{'} (1) \cdot 2 = 1 \Rightarrow g^{'} (1) = \frac{1}{2}$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Inverse

⏱ 2mℹ️ Source: QB

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