Question 62434This question is from textbook
: Can someone help me on this one out
FIND THE DOMAIN AND RANGE OF
Y=-3/(x+4)
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This question is from textbook
Answer by funmath(2933)   (Show Source):
You can put this solution on YOUR website! FIND THE DOMAIN AND RANGE OF
Y=-3/(x+4)
The domain is anything that x is allowed to be. In this type of equation, x cannot be anything that will make the denominator =0.
x+4=0
x+4-4=0-4
x=-4 X cannot be -4, it can be anything except -4.
In set builder notation we say that the domain is: {x|x not= -4}
In interval notation we say (-infinity,4)U(4,infinity).
:
Range is what y's will be because of x.
On rational equations, if the degree of the denominator is greater than the numerator, then y cannot =0. If you think about it, the numerator of a fraction has to be 0 in order for the fraction to =0. -3 cannot=0.
In set builder notation the range is: {y|y not= 0}
Interval notation (-infinity,0)U(0,infinity).
Happy Calculating!!!
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