Find the domain and range of the following function:
$\frac{x + 4}{| x + 4 |}$

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Solution

Domain $\Rightarrow x ϵ (- \infty, \infty) \sim {- 4}$
$f (x) = \frac{x + 4}{| x + 4 |}$
$x > - 4$ $x < - 4$
$f (x) = 1$ $f (x) = - 1$
Range = ${1, - 1}$

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