Question 1079631
Parentheses matter (2x+3)/(x-5) is what I will do, but there are other ways that might have been meant.
Graph will have a domain of everything but x=5.  The range is all real numbers except for 2.  It approaches 2 asymptotically. If the expression is set equal to 2, solving gives 2x-10=2x-3, which has no solution.  
{{{graph(300,300,-100,100,-10,10,(2x+3)/(x-5))}}}