Question 972019
Hello,


Since (f/g)(x) = f(x)/g(x)


then {{{sqrt(x)/(4x-5)}}}


To find the domain: 


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


and {{{4x-5 >= 0}}} is {{{x >= 5/4}}}. Since {{{sqrt(x)/(4x-5)}}} is a rational function, the denominator cannot equal zero. So it must be avoided.


Therefore, *[illustration union.jpg] or  *[illustration domain.jpg] where x does not equal 5/4.