Question 951346
{{{ l(x)=2sqrt (x)-5 }}} and {{{ m(x)=sqrt (x)-4 }}}, determine the following combinations of functions in simplest form and fill in the blank spaces by stating the combined function's domain and range.

{{{ (l+m)(x) =2sqrt (x)-5+sqrt (x)-4}}}

{{{ (l+m)(x) =3sqrt (x)-9}}}

{{{ (l+m)(x) =3(sqrt(x)-3)}}}


zeros:

{{{ 0=3(sqrt(x)-3)}}}

{{{ 0=3sqrt (x)-9}}}

{{{9=3sqrt (x)}}}

{{{ 9/3=sqrt (x)}}}

{{{ 3=sqrt (x)}}}

{{{ x=9}}}

 domain : 
{ {{{x}}} element {{{R}}} : {{{x>=0}}} }  (all non-negative real numbers)

range:
{ {{{y}}} element {{{R}}} : {{{y>=-9}}} }


{{{ graph( 600, 600, -5, 15, -15, 15, 3(sqrt(x)-3)) }}}