Question

Find the domain of the ration function:

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

Answer 1

Interval notation btw

Answer 2

Solve
y^2-7y=0
the domain are every number except the answer to the that equation.

Answer 3

so (-infinity,0)U(0,7)(7, infinity)?

Answer 4

theres a U after (0,7)

Answer 5

\[y^2-7y=0 \]\[y(y-7) = 0\]y=0,7
The domain is every number exept 0 and 7
\[-\infty < y < 0 ,\]\[ 0 < y < 7,\]\[7 < y < \infty \]

Answer 6

So yes :)