Question 58491
find the domain and range of {{{y=(x+2)/(x-5)}}}
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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)
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Happy Calculating!!!