What is the domain and range of y = (3(x-2))/x?
1 Answer
Jul 11, 2017
Explanation:
The denominator of y cannot be zero as this would make y undefined.
rArrx=0larrcolor(red)" excluded value"
"domain is " x inRR,x!=0 To find any excluded value in the range, rearrange making x the subject.
rArrxy=3x-6larrcolor(blue)" cross-multiply"
rArrxy-3x=-6larr" collect terms in x"
rArrx(y-3)=-6larr" common factor of x"
rArrx=-6/(y-3)
"the denominator cannot equal zero"
y-3=0rArry=3larrcolor(red)" excluded value"
"range is " y inRR,y!=3