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) = lo g_{3} ((x + 2)^{2})

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

\frac{7 x}{8 x - 9}

f (x) = lo g_{10} (2 x + 7)

f (x) = \frac{3 x - 8}{x - 5}

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