What is the domain and range of $y = (-4) / ( sqrt (x +1))$ ?

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Answer 1 · 2018-06-19T15:59:26

The domain is $x in (-1, +oo)$ .
The range is $y in (-oo,0^-)$

The function is

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

What's under the square root sign is $>=0$ and also, the denominator $!=0$

Therefore,

$x+1>0$

$=>$ , $x > -1$

The domain is $x in (-1, +oo)$

When $x->-1^+$ , $=>$ , $y->-oo$

When $x->+oo$ , $=>$ , $y->0^-$

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

graph{-4/sqrt(x+1) [-7.1, 28.93, -12.47, 5.55]}

What is the domain and range of y = (-4) / ( sqrt (x +1)) y = (-4) / ( sqrt (x +1))?