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Definition of Functions

Find the doma...

Question

Find the domain and range of the following function:
$f (x) = {\begin{matrix} 2 - x i f 0 < x < 2 x - 1 i f 3 \leq x < 4 \end{matrix}$

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Solution

Domain $x \in (0, 2) \cup (3, 4)$
Range $\in (0, 4]$

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