SOLUTION: Can someone help me on this one out FIND THE DOMAIN AND RANGE OF Y=-3/(x+4) thank you for your time

Question 62434This question is from textbook
: Can someone help me on this one out
FIND THE DOMAIN AND RANGE OF
Y=-3/(x+4)

thank you for your time 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!!!

RELATED QUESTIONS
Hi. can someone please help me with this question? given y=√x-4-2,determine: a.... (answered by MathLover1,Alan3354)

I need help on solving this equation. I'm supposed to find the domain and range. I think... (answered by jim_thompson5910,solver91311)

can some one help me find out the answer for this homework prob. I am so lost If K =... (answered by stanbon)

Can you please help me with this problem: Find each value given that f(x)=2x+1... (answered by venugopalramana,rapaljer)

Can someone please help me with this work. I am so confused that my head hurts from... (answered by stanbon)

I need a hand on this one please Given f(x)=-2(x+4)^2+5, find the vertex, domain,range (answered by funmath)

So frustrated and running out of time. My question was partly answered earlier but still... (answered by josgarithmetic)

Can someone help me graph this question and find the domain and range please?... (answered by stanbon)

I need some help please find the domain and range of Y=-3/x+4 than you for your... (answered by stanbon)