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If f : is given by fxxx(1,∞)→(2,∞) is given by f(x)=x+1x, then f-1 equals to ____________. -

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Question

If f : `(1, infty) → (2, infty)  "is given by f"("x") = "x" + 1/"x"`, then f-1 equals to ____________.

Options

  • `("x" + sqrt("x"^2 - 4))/4`

  • `"x"/(1 + "x"^2)`

  • `("x" - sqrt("x"^2 - 4))/2`

  • `1 + sqrt("x"^2 - 4)`

MCQ
Fill in the Blanks

Solution

If f : `(1, infty) → (2, infty)  "is given by f"("x") = "x" + 1/"x"`, then f-1 equals to `underline(("x" + sqrt("x"^2 - 4))/4)`.

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Inverse of a Function
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