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Find the inverse of each of the followin...

Find the inverse of each of the following functions :
`f(x) = {{:(x"," -oo lt x lt 1),(x^(2)"," 1 le x le 4),(2x"," 4 lt x lt oo):}`

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To find the inverse of the given piecewise function: \[ f(x) = \begin{cases} x & \text{for } -\infty < x < 1 \\ x^2 & \text{for } 1 \leq x \leq 4 \\ 2x & \text{for } 4 < x < \infty \end{cases} \] ...
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