SOLUTION: find the domain and range of {x,y) y=x+2/x-5}

Question 58491: find the domain and range of {x,y) y=x+2/x-5}
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
find the domain and range of
:
The domain is what x is allowed to be. X has the restriction that the denominator cannot =0 there is a vertical assymptote at x=5.
x-5 cannot=0
x cannot=5
The domain is {x|x cannot=5} in interval notation (-infinity,5)U(5,infinity)
:
The range is what y will be given that the domain is what it is. There is the restriction of y cannot= the horizontal asymptote. When the leading terms are raised to the same power, there is a horizontal asymptote at the leading terms over each other y=x/x=1. If you're doing limits let me know.
The range is {y|y cannot=1} in interval notation: (-infinity,1)U(1,infinity)
:
Happy Calculating!!!
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