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Show that f:[-1,1] to R given by f(x) =...

Show that `f:[-1,1] to R` given by `f(x) = x/(x + 2)` is one-one. Find the inverse of the function `f: [-1,1] to S`,where S is the range of f.

Text Solution

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The correct Answer is:
`f^(-1) (y) = (2y)/(1 - y), y != 1`.
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Knowledge Check

  • Range of f(x) = (1)/(1-2cosx) is

    A
    1)`[1/3 , 1]`
    B
    2)`[-1, 1/3]`
    C
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    D
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