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# Domain

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What real values of x are not in the domain of f(x) = 1/(abs(x^2 + 3x - 4) + abs(x^2 + 9x - 10))?

Dec 26, 2021

#1
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All x except x = 1   (the denominator would be = 0   at x = 1)

Dec 26, 2021
#2
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the domain is all x except x = 1   (the denominator would be = 0   at x = 1)

Guest Dec 26, 2021
#3
+115897
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What real values of x are not in the domain of f(x) = 1/(abs(x^2 + 3x - 4) + abs(x^2 + 9x - 10))?

$$f(x) =\frac{ 1}{|x^2+3x-4|+ |x^2 + 9x - 10|}\\ f(x) =\frac{ 1}{|(x+4)(x-1)|+ |(x+10)(x-1)|}\\ x\ne 1$$

Dec 27, 2021