SOLUTION: how can i find the domain of the rational function f(x)= (x - 1)/(x - 5)(x + 7)

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Question 88370: how can i find the domain of the rational function f(x)= (x - 1)/(x - 5)(x + 7)
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= (x - 1)/((x - 5)(x + 7))
Generally, you would assume that the domain for a function is all real values ... but, you must look for limitations. The limitation here is that a value of zero can not be in the denominator. So:
x - 5 can not equal zero
x + 7 can not equal zero
So:
x can not be 5 nor -7
Domain: (-infinity,-7), (-7,5), (5,+infinity)
Or: All Values but -7 and 5
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