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Let the function f: RR rarr RR be define...

Let the function `f: RR rarr RR` be defined by `f(x)=x^(2)-2`. Find (i)` f^(-1) {-1,7} ,(ii) f^(-1) {2 le xle 34}` , (iii) `f^(-1) {-5 le xle 14}` (iv) `f^(-1){-6 le xle -2}` ,(v) `f^(-1) { - infty lt x le 2}`.

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The correct Answer is:
(i) `{-3,-1,1,3}` (ii) `{x in RR :-6 le x le -2 or 2 le x le 6}` , (iii) `{ x in RR : -4 le x le 4}` (iv) {0} ,(v) `{x in RR : -2 le xle 2}`
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