For typing of this kind of question in this format, brackets are of critical importance
I will assume you meant:
(x+2)/(x-1) ÷ ( (x+4)/(x^2 + 4x - 5) )
= (x+2)/(x-1) * (x^2 + 4x - 5)/(x+4)
= (x+2)/(x-1) (x+5)(x-1)/(x+4)
= (x+2)(x+5)/(x+4) , x ≠ 1, -5,-4
In the original divisor of (x+4)/((x-1)(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 no-no
So we have restrictions of 1, -5, -4
your answer is correct, other than the above restrictions.
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