How do you find the domain and range of $f(x)=sqrt(x+4)$ ?

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Answer 1 · 2017-04-17T13:28:58

The domain would be anything that keeps the argument $(x+4)$ non-negative. The result $f(x)$ is also non-negative.

Domain :
$x+4>=0->x>=-4$

Range :
$f(x)>=0$ as the argument may be $=0$ when $x=-4$
graph{sqrt(x+4) [-10, 10, -5, 5]}

How do you find the domain and range of f(x)=sqrt(x+4)f(x)=sqrt(x+4)?