algebra
posted by dirtrider on .
What is the quotient in simpliest form? State any restrictions on the variable.
x+2/x1 divided by x+4/x^2+4x5.
My answer (x+2)(x+5)/x+4; don't get the restriction part either 5,4 or 1,4,5
Can someone please help?

For typing of this kind of question in this format, brackets are of critical importance
I will assume you meant:
(x+2)/(x1) ÷ ( (x+4)/(x^2 + 4x  5) )
then..
= (x+2)/(x1) * (x^2 + 4x  5)/(x+4)
= (x+2)/(x1) (x+5)(x1)/(x+4)
= (x+2)(x+5)/(x+4) , x ≠ 1, 5,4
In the original divisor of (x+4)/((x1)(x+5)
is x = 1 or 5, that expression would be undefined, so we restrict those values
similarly looking at the final answer, we are dividing by x+4.
If x = 4 , we could be dividing by zero, a nono
So we have restrictions of 1, 5, 4
your answer is correct, other than the above restrictions. 
mlg