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Find the inverse of the function:`f:[-1,]vec[-1,1]d efin e db yf(x)=x|x|` |
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Answer» Correct Answer - `f^(-1)(x)={(-sqrt(-x)",",x lt 0),(sqrt(x)",",x ge 0):}` `f:[-1,1] to [-1,1]` is defined by `f(x)=x|x|={(x^(2)",",x ge 0),(-x^(2)",",x lt 0):}` or `f^(-1)(x)={(sqrt(x)",",x ge 0),(-sqrt(-x)",",x lt 0):}` |
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