What is the domain of (x-4)/(x^3-5x^2+12x-33) ?

The domain of (x-4)/(x^3-5x^2+12x-33) is x 4.04914…

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domain of (x-4)/(x^3-5x^2+12x-33)

domain

\frac{x - 4}{x ^{3} - 5 x ^{2} + 12 x - 33}

x < 4.04914 \dots or x > 4.04914 \dots

Interval Notation

(- \infty, 4.04914 \dots) \cup (4.04914 \dots, \infty)

Solution steps

Find undefined (singularity) points:

x = 4.04914 \dots

The function domain

x < 4.04914 \dots or x > 4.04914 \dots

2 - 3 a

y = x 2 - x^{2}

x^{2} + 8

f (x, y) = x^{2} + y^{2}

f (x, y) = 4 - x^{2} - y^{2}

What is the domain of (x-4)/(x^3-5x^2+12x-33) ?
The domain of (x-4)/(x^3-5x^2+12x-33) is x<4.04914…\lor x>4.04914…