How do you find the domain and range of f(x)=3/(x-1)f(x)=3x−1?
1 Answer
May 9, 2017
Explanation:
The denominator of f(x) cannot be zero as this would make f(x)
color(blue)"undefined". Equating the denominator to zero and solving gives the value that x cannot be.
"solve" x-1=0rArrx=1larrcolor(red)" excluded value"
"domain is " x inRR,x!=1
"to find any excluded values for y"
"rearrange f(x), making x the subject"
y=3/(x-1)
rArry(x-1)=3
rArrxy-y=3
rArrx=(3+y)/y
"the denominator cannot be zero"
rArry=0larrcolor(red)" excluded value"
"range is " y inRR,y!=0