What is the domain of f(x)= 5/(x^2+2x-10) ?

The domain of f(x)= 5/(x^2+2x-10) is x -1+sqrt(11)

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domain of f(x)= 5/(x^2+2x-10)

domain

f (x) = \frac{5}{x ^{2} + 2 x - 10}

x < - 1 - 11 or - 1 - 11 < x < - 1 + 11 or x > - 1 + 11

Interval Notation

(- \infty, - 1 - 11) \cup (- 1 - 11, - 1 + 11) \cup (- 1 + 11, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1 + 11, x = - 1 - 11

The function domain

x < - 1 - 11 or - 1 - 11 < x < - 1 + 11 or x > - 1 + 11

What is the domain of f(x)= 5/(x^2+2x-10) ?
The domain of f(x)= 5/(x^2+2x-10) is x<-1-sqrt(11)\lor-1-sqrt(11)<x<-1+sqrt(11)\lor x>-1+sqrt(11)