What is the domain of (2x-6)/(x^2+2x-15) ?

The domain of (2x-6)/(x^2+2x-15) is x 3

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domain of (2x-6)/(x^2+2x-15)

domain

\frac{2 x - 6}{x ^{2} + 2 x - 15}

x < - 5 or - 5 < x < 3 or x > 3

Interval Notation

(- \infty, - 5) \cup (- 5, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 5

The function domain

x < - 5 or - 5 < x < 3 or x > 3

f (x) = \frac{1}{x ^{2} - x - 12}

f (x) = (\frac{x + 3}{x - 1})

4 - x^{2} + \frac{x + 2}{11 - x}

f (x) = e^{s i n (\frac{π}{x})}

y = \frac{x ^{2} - 1}{x ^{3} + x}

What is the domain of (2x-6)/(x^2+2x-15) ?
The domain of (2x-6)/(x^2+2x-15) is x<-5\lor-5<x<3\lor x>3