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

The domain of f(x)=(3x^2-3x)/(x^2+x-12) is x 3

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domain of f(x)=(3x^2-3x)/(x^2+x-12)

domain

f (x) = \frac{3 x ^{2} - 3 x}{x ^{2} + x - 12}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3, x = - 4

The function domain

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

f (x) = lo g_{3} (x + 3) - 1

f (x) = 4 x + \frac{5}{3} + 2

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

f (x) = lo g_{\frac{2}{x}} (3^{x})

f (x) = (x + 9)^{\frac{1}{4}}

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