To best way to find the range of a function is to find the domain of the inverse function. To find the inverse function of a function you have to substitue ##x## with ##y## and vice versa and then find ##y##.
So:
##y=(x+5)/(x-2)rArrx=(y+5)/(y-2)rArrx(y-2)=y+5rArr##
##xy-2x=y+5rArrxy-y=2x+5rArry(x-1)=2x+5rArr##
##y=(2x+5)/(x-1)## and its domain is ##(-oo1)uu(1+oo)## that is also the range of your function.
How do you find the range of a function algebraically y=(x+5)/(x-2)?
March 18th, 2019 admin