What is the domain of (3x^2-7x-6)/(x^2-16x+55) ?

The domain of (3x^2-7x-6)/(x^2-16x+55) is x 11

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domain of (3x^2-7x-6)/(x^2-16x+55)

domain

\frac{3 x ^{2} - 7 x - 6}{x ^{2} - 16 x + 55}

x < 5 or 5 < x < 11 or x > 11

Solution steps

Find undefined (singularity) points:

x = 11, x = 5

The function domain

x < 5 or 5 < x < 11 or x > 11

x^{2} - 2 x + 3

f (x) = - x + 10

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

- x^{2} + 4 x

\frac{4 x ^{2} - 1}{2 x - 1}

What is the domain of (3x^2-7x-6)/(x^2-16x+55) ?
The domain of (3x^2-7x-6)/(x^2-16x+55) is x<5\lor 5<x<11\lor x>11