Question 715792
{{{ 5+log( 3,x^2-2x-3)}}}.......to find a domain and range you need to solve quadratic equation {{{x^2-2x-3=0}}} using quadratic formula


*[invoke quadratic_formula 1, -2, -3, "x"]


since roots are {{{x=3}}} and {{{x=-1}}}, 

the domain is *[tex \LARGE \ \ \ \ \ \ \ \ \ \ \text{dom }\left{x\,\in\,\mathbb{R}\,:\,x\,\>\,3,\,or x\ <\,-1\right}]


the range is:  *[tex \LARGE \{\forall\,y\,|\,y\,\in\,\mathbb{R}\}]