What is the domain of f(x)= 1/((x^3-3x^2-6x-8)) ?

The domain of f(x)= 1/((x^3-3x^2-6x-8)) is x 4.65717…

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domain of f(x)= 1/((x^3-3x^2-6x-8))

domain

f (x) = \frac{1}{( x ^{3} - 3 x ^{2} - 6 x - 8 )}

x < 4.65717 \dots or x > 4.65717 \dots

Interval Notation

(- \infty, 4.65717 \dots) \cup (4.65717 \dots, \infty)

Solution steps

Find undefined (singularity) points:

x = 4.65717 \dots

The function domain

x < 4.65717 \dots or x > 4.65717 \dots

f (x) = 2 - 3 x

x^{2} - 15 x - 6

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

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

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

What is the domain of f(x)= 1/((x^3-3x^2-6x-8)) ?
The domain of f(x)= 1/((x^3-3x^2-6x-8)) is x<4.65717…\lor x>4.65717…