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

The domain of f(x)=(x^2+7x+10)/(x^2-x-12) is x 4

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

domain

f (x) = \frac{x ^{2} + 7 x + 10}{x ^{2} - x - 12}

x < - 3 or - 3 < x < 4 or x > 4

Interval Notation

(- \infty, - 3) \cup (- 3, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 3

The function domain

x < - 3 or - 3 < x < 4 or x > 4

f (x) = - 2

f (x) = - \frac{3}{2} (4)^{x - 3} - 1

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

- 2 x + 1

f (x) = lo g_{10} (\frac{8}{x + 5})

What is the domain of f(x)=(x^2+7x+10)/(x^2-x-12) ?
The domain of f(x)=(x^2+7x+10)/(x^2-x-12) is x<-3\lor-3<x<4\lor x>4