How do you find the domain and range of #f(x)=3/(x-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#