Question

f(y)=y+7/y^2-7y

FInd the domain of the rational function?

I am having a problem bc I cant divide by zero right?

Answer 1

I agree. It looks like your function is defined for all values of y except for zero.

Answer 2

So what would my domain be??

bc

y = 0 or y-7 = 0

y = 0 or y = 7

So if y = 0 or y = 7, then the denominator is zero.

So we must exclude these values from the domain.

Answer 3

oh, wait, was y^2 -7y ALL in the denominator? If so, it helps eliminate confusion by putting parentheses around the whole denom.

Answer 4

yes

Answer 5

okay, then you are right, you have to exclude 7 as well. So the domain would be just what you think it is: (-inf., 0) union (0, 7) union (7, inf)

Answer 6

ahhh ok great thanks!

Answer 7

yw