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

Question

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

anonymous · Answer

always best if you plot

anonymous · Answer

is the domain 0, -1 ?

anonymous · Answer

there are 3 areas that need domains

anonymous · Answer

I don't know what the last one is ?

anonymous · Answer

we need to solve the denominator

anonymous · Answer

which ones have you got?

anonymous · Answer

I have no idea

anonymous · Answer

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

anonymous · Answer

y=0, y= 5

anonymous · Answer

wee need the retricemptotes

this is what makes the dinominator 0

anonymous · Answer

in this case 0 and 5

anonymous · Answer

so from 0 to 5 is the range of y

0<y<5  is the first range

anonymous · Answer

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