What is the domain and range of y=5/(x-1)?
1 Answer
Mar 5, 2018
Explanation:
"the denominator of y cannot equal zero as this would "
"make y undefined. Equating the denominator to zero"
"and solving gives the value that x cannot be"
"solve "x-1=0rArrx=1larrcolor(red)"excluded value"
rArr"domain is "x inRR,x!=1
"to find the range, rearrange making x the subject"
rArry(x-1)=5
rArrxy-y=5
rArrxy=5+y
rArrx=(5+y)/y
rArry=0larrcolor(red)"excluded value"
rArr"range is "y inRR,y!=0
graph{5/(x-1) [-10, 10, -5, 5]}