Math  /  Algebra

QuestionFind the domain of the following function. f(x)=x+2x249f(x)=\frac{x+2}{x^{2}-49}

Studdy Solution
Exclude these values from the domain:
The values x=7 x = 7 and x=7 x = -7 make the denominator zero, so they must be excluded from the domain.
The domain of f(x) f(x) is all real numbers except x=7 x = 7 and x=7 x = -7 .
In interval notation, the domain is:
(,7)(7,7)(7,) (-\infty, -7) \cup (-7, 7) \cup (7, \infty)
The domain of the function is (,7)(7,7)(7,) \boxed{(-\infty, -7) \cup (-7, 7) \cup (7, \infty)} .

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