SOLUTION: What is the domain of this function? f(x) = 3x-1/(x+3)(x-1)

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Question 486918: What is the domain of this function?
f(x) = 3x-1/(x+3)(x-1)
Found 2 solutions by John10, MathLover1:
Answer by John10(297) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: set the denominator to be zero to find the restricted values.
For your problem:
(x + 3)(x - 1) = 0
x + 3 =0 or x - 1 = 0
x = -3 or x = 1
Then the domain is all real numbers except -3 and 1
D = {x| x is not equal to -3 or 1}

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%283x-1%29%2F%28%28x%2B3%29%28x-1%29%29

x can take any real number except -3 or 1 since x+=+-3 or x=1 would make the denominator equal to zero and the division by zero is not allowed in mathematics.

Hence the domain in interval notation is given by
(-infinity , -3) U (-3,1) U (1 ,infinity)