Question

find the domain of the rational function.
f(y)=y+5/y^2 -5y
the domain of the function is ______?

Answer 1

always best if you plot

Answer 2

is the domain 0, -1 ?

Answer 3

there are 3 areas that need domains

Answer 4

I don't know what the last one is ?

Answer 5

we need to solve the denominator

Answer 6

which ones have you got?

Answer 7

I have no idea

Answer 8

okay, lets start with the simple one,


the denominator can be written as y(y-5) yeas?


we need to solve y(y-5)==0

Answer 9

y=0, y= 5

Answer 10

wee need the retricemptotes

this is what makes the dinominator 0

Answer 11

in this case 0 and 5

Answer 12

so from 0 to 5 is the range of y

0<y<5 is the first range

Answer 13

anything over 5 but not including is is the second range y>5 and anything below 0 y<0,, these are the ranges