What is the domain and range of $f(x) = 4 / (x+2)$ ?

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Answer 1 · 2018-05-16T13:14:58

The domain is $x in (-oo,-2)uu(-2,+oo)$ . The range is $y in (-oo,0) uu(0, +oo)$ .

The denominator must be $!=0$

$x+2!=0$

Therefore,

$x!=-2$

The domain is $x in (-oo,-2)uu(-2,+oo)$

To find the range, procceed as follow.

Let $y=4/(x+2)$

$=>$ , $y(x+2)=4$

$=>$ , $yx+2y=4$

$=>$ , $yx=4-2y$

$=>$ , $x=(4-2y)/y$

The denominator must be $!=0$

$y!=0$

The range is $y in (-oo,0) uu(0, +oo)$

graph{4/(x+2) [-32.48, 32.48, -16.24, 16.24]}

What is the domain and range of f(x) = 4 / (x+2)f(x) = 4 / (x+2)?