How do you find the domain and range of $y=sqrt(x-3)$ ?

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Answer 1 · 2018-04-15T02:40:11

$y=sqrt(x)$

Graph{y=sqrt(x)}

Domain: $(0, oo)$
Range: $(0, oo)$

$y=sqrt(x-3)$

Shift $3$ units to the right

Graph{y=sqrt(x-3)}

Domain: $(3, oo)$
Range: $(0, oo)$

How do you find the domain and range of y=sqrt(x-3)y=sqrt(x-3)?