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Show that f : [-1,1] rarr R , given by f...

Show that f : [-1,1] `rarr R` , given by `f(x) = (x)/(x+2)` is one - one . Find the inverse of the function `f:[-1,1] rarr` Range f.
(Hint: For `y in ` Range `f,y=f(x) = x/(x+2) `, for some x in [-1,1] , i.e., `x = (2y)/(1-y)` ).

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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -EXERCISE 1.3
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