What is the domain and range of the function $y = \sqrt{x - 4}$ $y=sqrt(x-4)$ ?

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Answer 1 · 2017-07-20T14:50:18

$D = [4, + \infty)$ $D=[4,+oo)$

$R = [0, + \infty)$ $R=[0,+oo)$

$x - 4 \geq 0 \Leftrightarrow x \geq 4$ $x-4>=0 iff x>=4$

So the domain is : $D = [4, + \infty)$ $D=[4,+oo)$

The range of any square root function is : $R = [0, + \infty)$ $R=[0,+oo)$

What is the domain and range of the function y=sqrt(x-4)y=√x−4y=sqrt(x-4)?