Question

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

domain of rational function PLEASE HELP

Answer 1

\[f(y)=\frac{ y+2 }{ y^2-2y }\]

Answer 2

What values can y have? Since there is an expression with y in the denominator, that expression cannot equal zero.
Set the expression equal to zero, then solve the equation. Thise are the values y cannot have. The domain is all the values y can have.
y^2 - 2y = 0
y(y - 2) = 0
y = 0 or y -2 = 0
y = 0 or y = 2
Therefore, the domain is all real numbers except y=0, y=2

Answer 3

can you help me with this one I am looking for the range on this problem, I got the domain but can not understand the range\[f(x)=\sqrt{x-3}\]