Let (where ) and (where )

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

Problem

Let

f(x)=\dfrac{px-1}{x+1}

(where

x\ne -1

) and

g(x)=\dfrac{1}{x}

(where

x\ne 0

). Determine the value of

p

for which

(g\circ f)(x)=f(x)

for every

x

in the common domain.

Related theory

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