How do you find the domain and range of $y= 4/(x+1)$ ?

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Answer 1 · 2017-09-11T14:23:01

The domain is $x in RR-{-1}$
The range is $y in RR -{0}$

The denominator must de $!=0$

$x+1!=0$ , $=>$ , $x!=-1$

The domain is $x in RR-{-1}$

To find the range, we proceed as follows

$y=4/(x+1)$

$y(x+1)=4$

$x+1=4/y$

$x=4/y-1=(4-y)/y$

For the same reason as above,

$y!=0$

The range is $y in RR -{0}$

graph{4/(x+1) [-36.54, 36.54, -18.28, 18.27]}

How do you find the domain and range of y= 4/(x+1)y= 4/(x+1)?