If $f(x)=1-\frac{1}{x}$, then $f\left\{f\left(\frac{1}{x}\right)\right\}$ is

JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f(x)=1-\frac{1}{x}

, then

f\left\{f\left(\frac{1}{x}\right)\right\}

View answer and explanation

Correct option: C

\frac{x}{x-1}

Option C (

\frac{{x}}{{x-1}}

) is correct because after evaluating the composite function

f\{f(\frac{{1}}{{x}})\}

, the expression simplifies to

\frac{{x}}{{x-1}}

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