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(a) If f(x)=-x|x|, then find f^(-1)(x) a...

(a) If `f(x)=-x|x|`, then find `f^(-1)(x)` and hence find the number of solution of `f(x)=f^(-1)(x)`
(b) Solve `2x^(2)-5x+2=(5-sqrt(9+8x))/4`, where `xlt5/4`

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The correct Answer is:
(a) `f^(-1)(x)={(sqrt(1-x),xle0),(-sqrt(x),xgt0):}3`
(b) `x=(3-sqrt(5))/2`
NA
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