What is the domain of (x^2+6)/(3x^2-12x-15) ?

The domain of (x^2+6)/(3x^2-12x-15) is x 5

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domain of (x^2+6)/(3x^2-12x-15)

domain

\frac{x ^{2} + 6}{3 x ^{2} - 12 x - 15}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 5, x = - 1

The function domain

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

arccos (x^{2})

f (x) = \frac{4}{( x ^{2} - 9 )}

3^{x} + 4

f (x) = \frac{6 x - 25}{- 5 x + 41}

f (x) = \frac{x + 4}{x - 6}

What is the domain of (x^2+6)/(3x^2-12x-15) ?
The domain of (x^2+6)/(3x^2-12x-15) is x<-1\lor-1<x<5\lor x>5