Question 1179821


Determine the domain and range of { ({{{x}}},{{{y}}}) | {{{y=sqrt(x^2-49)}}} }

domain is all non-negative real numbers   except those which make {{{x^2-49}}} equal to zero

{{{x^2-49=0}}}
{{{x^2-7^2=0}}}
{{{(x-7)(x+7)=0}}}

=>{{{x=7}}} or {{{x=-7}}}

domain is: { {{{x}}} element {{{R}}} : {{{x<=-7}}} or{{{ x>=7}}} }

range is:  { {{{y}}} element {{{R}}} :{{{ y>=0}}} } (all non-negative real numbers)