What is the domain of f(x)=(x+7)/(x^2-2x-63) ?

The domain of f(x)=(x+7)/(x^2-2x-63) is x 9

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domain of f(x)=(x+7)/(x^2-2x-63)

domain

f (x) = \frac{x + 7}{x ^{2} - 2 x - 63}

x < - 7 or - 7 < x < 9 or x > 9

Interval Notation

(- \infty, - 7) \cup (- 7, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = 9, x = - 7

The function domain

x < - 7 or - 7 < x < 9 or x > 9

What is the domain of f(x)=(x+7)/(x^2-2x-63) ?
The domain of f(x)=(x+7)/(x^2-2x-63) is x<-7\lor-7<x<9\lor x>9