Question 1181192



{{{g(x)=sqrt(( x - 3 ) ^2 )}}}=>{{{g(x)= abs(x - 3) }}}

{{{l(x)= 1 /sqrt( x)}}}

What Is the D {{{l/g}}} of this two functions

{{{l/g=(1 /sqrt( x))/abs( x - 3 )}}}

{{{l/g=1 /(sqrt( x)*abs( x - 3 ) )}}}


the D: all real numbers except those which make denominator equal to zero and they are

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

if {{{sqrt( x)=0}}}=>{{{x=0}}}

if {{{abs( x - 3 ) =0}}}=>{{{x=3}}}


domain: { {{{x}}} element {{{R}}} : {{{0<x<3}}} or {{{x>3}}} }

Interval notation:
({{{0}}}, {{{3}}} ) U ({{{3}}}, {{{infinity}}}  )