Question 1198833

 {{{y=sqrt(x-2) -4}}}

Domain:

{{{sqrt(x-2) }}} cannot take negative values for {{{x}}}

{{{x-2=0}}}->.{{{x=2}}}

so, {{{x>=2}}} }

and domain is:

{ {{{x }}}element {{{R}}} : {{{x>=2}}} }

interval notation:
[{{{2}}},{{{infinity}}})

Range:
The range of an radical function of the form {{{f(x)=sqrt(ax+b)+k}}} is {{{f(x)>=k}}}

in your  case {{{k=-4}}}

so  range  is

{ {{{y}}} element  {{{R}}} :  {{{y>=-4}}} }

interval notation:

[{{{-4}}},{{{infinity}}})


answer:

D) Domain [{{{2}}},{{{infinity}}}); Range [{{{-4}}},{{{infinity}}})