What is the domain of (2x^2+2x-12)/(x^2+4x-5) ?

The domain of (2x^2+2x-12)/(x^2+4x-5) is x 1

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domain of (2x^2+2x-12)/(x^2+4x-5)

domain

\frac{2 x ^{2} + 2 x - 12}{x ^{2} + 4 x - 5}

x < - 5 or - 5 < x < 1 or x > 1

Interval Notation

(- \infty, - 5) \cup (- 5, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 5

The function domain

x < - 5 or - 5 < x < 1 or x > 1

f (x) = \frac{x ^{2} + 5 x + 6}{x ^{2} + 9}

f (x) = - 4 x + 20

4 x^{3} + x

lo g_{10} (x - 3) - 5

e^{t}

What is the domain of (2x^2+2x-12)/(x^2+4x-5) ?
The domain of (2x^2+2x-12)/(x^2+4x-5) is x<-5\lor-5<x<1\lor x>1