What is the domain of (x-5)/(x^2-2x-35) ?

The domain of (x-5)/(x^2-2x-35) is x 7

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domain of (x-5)/(x^2-2x-35)

domain

\frac{x - 5}{x ^{2} - 2 x - 35}

x < - 5 or - 5 < x < 7 or x > 7

Interval Notation

(- \infty, - 5) \cup (- 5, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 5

The function domain

x < - 5 or - 5 < x < 7 or x > 7

f (x) = (x^{2} + 4 x + 4) e^{- 2 x}

f (x) = - x^{2} + 5 x - 6

f (x) = 8 - 2 x + 1

g (x) = lo g_{3} (x - 3) - 1

\frac{900 - 100 x ^{2}}{9}

What is the domain of (x-5)/(x^2-2x-35) ?
The domain of (x-5)/(x^2-2x-35) is x<-5\lor-5<x<7\lor x>7