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

1 Answer
Jim G.
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

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