What is the domain of y= 1/(3x^2-33x+54) ?

The domain of y= 1/(3x^2-33x+54) is x 9

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domain of y= 1/(3x^2-33x+54)

domain

y = \frac{1}{3 x ^{2} - 33 x + 54}

x < 2 or 2 < x < 9 or x > 9

Interval Notation

(- \infty, 2) \cup (2, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = 9, x = 2

The function domain

x < 2 or 2 < x < 9 or x > 9

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

4 x^{2} - 36

y = x^{2} - 5 x + 6

\frac{x ^{4} - 3 x ^{3} + 4}{3 x ^{2} - 7 x - 20}

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

What is the domain of y= 1/(3x^2-33x+54) ?
The domain of y= 1/(3x^2-33x+54) is x<2\lor 2<x<9\lor x>9