What is the domain and range of f(x)=(x-1)/(x+2)f(x)=x−1x+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=-2x+2=0→x=−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
