The function is defined by

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

The function

f

is defined by

f(x)=\dfrac{ax-3}{2x+1}

, where

a

is a real parameter and

x\neq -\dfrac12

. If the inverse function

f^{-1}

passes through the point

(5,2)

, find the value of

a

. (a)

4

(b)

-14

(c)

14

(d)

5

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