1.

If `f(x) = 1/(1-x)`, then `f(f(f(x)))` is equal toA. `(1)/((1-3x))`B. `(x)/((1+3x))`C. `x`D. none of these

Answer» Correct Answer - C
`(f o f) (x) =f{f(x)}= f ((1)/(1-x)) =(1)/((1-(1)/(1-x)))= (1-x)/(-x) =(x-1)/(x)`
` rArr {f o (f o f)}(x)=f{(f o f)(x)]=f ((x-1)/(x)) =(1)/(1-(x-1)/(x)) =x.`


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