What is the domain of (x^2+7x+12)/(x^2-3x-10) ?

The domain of (x^2+7x+12)/(x^2-3x-10) is x 5

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domain of (x^2+7x+12)/(x^2-3x-10)

domain

\frac{x ^{2} + 7 x + 12}{x ^{2} - 3 x - 10}

x < - 2 or - 2 < x < 5 or x > 5

Interval Notation

(- \infty, - 2) \cup (- 2, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 2

The function domain

x < - 2 or - 2 < x < 5 or x > 5

f (x) = cosh^{2} (ln (x) - 1)

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

\frac{x}{x ^{2} + 3 x}

8 + 5 ln (2 x + 3)

f (t) = 4 t + 5

What is the domain of (x^2+7x+12)/(x^2-3x-10) ?
The domain of (x^2+7x+12)/(x^2-3x-10) is x<-2\lor-2<x<5\lor x>5