Let , where is a constant. Given that and , determine the value of…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

f(x)=k x^{2}+1

, where

k

is a constant. Given that

f(2)=5

and

(f^{-1})'(5)=\dfrac{1}{4}

, determine the value of

k

.

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