Question

Find the domain of the following piece wise function

Answer 1

Answer:

[-4, 6)

Step-by-step explanation:

$f(x)=\left\{\begin{array}{ccc}x+4&if&-4\leq x<3\\2x-1&if&3\leq x<6\end{array}\right\\\\\text{The domain of a function is a set of x's}.\\\\\text{We have}\\\\-4\leq x<3\to x\in[-4,\ 3)\\3\leq x<6\to x\in[3,\ 6)\\\\\text{The domain:}\ [-4,\ 3)\ \cup\ [3,\ 6)=[-4,\ 6)$

Answer 2

Answer:

[-4,6)

Step-by-step explanation:

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