What is the domain of y=(30-6x)/(x^2-11x+30) ?

The domain of y=(30-6x)/(x^2-11x+30) is x 6

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domain of y=(30-6x)/(x^2-11x+30)

domain

y = \frac{30 - 6 x}{x ^{2} - 11 x + 30}

x < 5 or 5 < x < 6 or x > 6

Interval Notation

(- \infty, 5) \cup (5, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = 5

The function domain

x < 5 or 5 < x < 6 or x > 6

3 x - 1

\frac{2}{x - 3} - 2

f (x) = x^{2} + 4 x + 4

3 - x + x^{2} - 4

\frac{2 x ^{2}}{3 x + 2}

What is the domain of y=(30-6x)/(x^2-11x+30) ?
The domain of y=(30-6x)/(x^2-11x+30) is x<5\lor 5<x<6\lor x>6