What is the domain and range of #f(x)=(x-1)/(x+2)#?
1 Answer
Apr 3, 2017
see explanation.
Explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.
#x+2=0tox=-2#
#"domain is " x inRR,x!=-2# Rearrange the function expressing x in terms of y
#rArry=(x-1)/(x+2)#
#rArry(x+2)-x+1=0#
#rArrxy+2y-x+1=0#
#rArrx(y-1)=-2y-1#
#rArrx=-(2y+1)/(y-1)#
#"range is " y inRR,y!=1#
