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Answer:
(x-5)/(x+1) and x cannot equal -1 because the denominator can't be zero.
Step-by-step explanation:
Factor the numerator:
(x+9)(x-5)
Factor the denominator:
(x+1)(x+9)
So you have
(x+9)(x-5)/(x+1)(x+9); see that you can cross out the (x+9) in both the numerator and denominator?
You're left with (x-5)/(x+1)
The only number that is restricted is -1, because that would make the denominator zero, which is a no no
Answer:
Step-by-step explanation:
To avoid ambiguity please write the given expression as
x² + 4x - 45
x² + 4x - 45/(x^2+10x+9) or (better) as ---------------------
x^2+10x+9
Notice that both numerator and denominator have the factor x + 9:
(x + 9)(x - 5)
---------------------
(x + 9)(x + 1)
This allows us to cancel out the (x + 9) factor, resulting in:
x - 5
------- ONLY for x ≠ -1 and x = -9
x + 1
We must exclude these two x-values because otherwise the denominator would be zero, which is not allowed.