Let and let be its inverse

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

Problem

Let

f(x)=\dfrac{5x-1}{2}

and let

g

be its inverse. Simplify the expression

g\bigl(f(g(f(x)))\bigr)

. (a)

\dfrac{5x-1}{2}

(b)

\dfrac{2x+1}{5}

(c)

x

(d)

5x-1

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