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

Interval Notation

(- \infty, 5) \cup (5, 11) \cup (11, \infty)

Solution steps

Find undefined (singularity) points:

x = 11, x = 5

The function domain

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

e x t re m e x^{2} - 2 x + 3

a sy m pt o t es f (x) = \frac{2}{( x - 2 ) ^{3}}

r an g e - x^{2} + 4 x

cr i t i c a l f (x) = 6 x^{3} + x^{2} + 6 x

in v erse f (x) = 3 lo g_{2} (x + 5) + 7

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