If fx-x-1x-1x- 1 then fofofofx-

The correct option is D x fofofof(x)=fofof(x+1x 1) =fof(x+1x 1+1x+1x 1 1)=fof(2x2) =fof(x) =f(x+1x 1)=x ...

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Composite Function

If fx=x+1x-...

Question

If $f (x) = \frac{x + 1}{x - 1} (x \neq 1)$ then $f o f o f o f (x) =$

f (x)

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2 (\frac{x + 1}{x - 1})

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

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x

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Solution

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Similar questions

f (x) = \frac{x + 1}{x - 1} (x \neq \pm 1)

f (x) = x^{2}

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x \geq 1

f (x) = 2 x + {cot}^{- 1} x + log (\sqrt{1 + x^{2}} - x)

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

f o f^{- 1} (x) = x

f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \begin{matrix} \frac{x^{2} - 1}{x + 1} & x \neq - 1 - 2 & x = - 1 \end{matrix} \end{matrix}

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x = - 1

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