What is the domain and range of $y = 3 sqrt(x-4) + 2$ ?

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Answer 1 · 2018-07-09T11:12:44

Domain is $x >= 4 or x in [4,oo)$ .
Range is $y >= 2 or y in [2,oo)$ .

$y= 3 sqrt(x-4)+2 ; y$ is undefined , if under root function is

$<0 :. x-4 >=0 :. x>= 4$ . Domain is possible input of $x$

Domain is $x >= 4 or x in [4,oo)$ .

Range is possible output of $y:. y>= 3*0+2 or y>= 2$

Range is $y >= 2 or y in [2,oo)$ .

graph{3(x-4)^0.5+2 [-20, 20, -10, 10]}[Ans]

What is the domain and range of y = 3 sqrt(x-4) + 2 y = 3 sqrt(x-4) + 2?