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

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

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

domain

\frac{2}{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) = ln (x + 5 - 1)

f (x) = x^{3} - 4 x^{2}

f (x) = \frac{1}{5} x^{2}

f (x) = \frac{2 x + 1}{2 x - 1}

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