Question

find the domain of the rational function f(y)= y+3/y^2-3y type the answer in interval notation

Answer 1

domain is 0 and 3

Answer 2

@KeKiu, how do you write in interval notation

Answer 3

do you know how to find the domain? tho?

Answer 4

no can you show me

Answer 5

so your equation is (y+3)/(y^2-3y) is that correct?

Answer 6

whenever you ask to find domain you are being ask to find the maxium of value X
so to find domain, is to find the bottom part of the equation, which is y^2-3y

Answer 7

yes but no parenthesis

Answer 8

ok I got that

Answer 9

so you would look at the bottom as a equation and set to 0, which is y^2-3y=0

Answer 10

and then solve the equation to find the domain

Answer 11

o.O
there is saying according to which you should keep yourself mum and let others wonder if you know about the thing or not rather than opening it and letting the world know! @KeKiu

Answer 12

domain are those values of y (in this case) for which the function yields a real value..

Answer 13

@shubhamsrg...you lost me

Answer 14

ohhh ok I see

Answer 15

so all your values of y for which the RHS is a real no. are a part of your domain..
clearly, the denominator should NOT be 0 .

Answer 16

See, if denominator becomes 0, then functions become infinite or indetermined..

So this condition must be avoided..

Answer 17

ok understand that

Answer 18

so can someone show me the steps to finding the solution then

Answer 19

Simply put the denominator to 0 and find the values of y..

Note that these values will not be included in the domain..

Answer 20

ok... i will try it out

Answer 21

You can and you will....