Find the domain of the following piecewise function.

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

      and  

Combine the first two inequalities:

   and  

For the inequality to be true, we must have:

In interval notation, the inequality is:

step-by-step explanation:

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