What is the domain of f(x)=(31)/(x^3-8)+(2x-5)/(x-6)-23x^2 ?

The domain of f(x)=(31)/(x^3-8)+(2x-5)/(x-6)-23x^2 is x 6

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domain of f(x)=(31)/(x^3-8)+(2x-5)/(x-6)-23x^2

domain

f (x) = \frac{31}{x ^{3} - 8} + \frac{2 x - 5}{x - 6} - 23 x^{2}

x < 2 or 2 < x < 6 or x > 6

Interval Notation

(- \infty, 2) \cup (2, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = 6

The function domain

x < 2 or 2 < x < 6 or x > 6

f (x) = 3 cos (3 x)

f (t) = e^{5 t}

f (x) = 2 x^{7} - 3 x^{6} + 3 x^{3} - 4 x^{2} - 7

f (x) = x^{4} - 4 x^{3} + 7

f (n) = - (- 1)^{n}

What is the domain of f(x)=(31)/(x^3-8)+(2x-5)/(x-6)-23x^2 ?
The domain of f(x)=(31)/(x^3-8)+(2x-5)/(x-6)-23x^2 is x<2\lor 2<x<6\lor x>6