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

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

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

domain

f (x) = \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

6 x + 5

f (x) = x^{2} + y^{2} + 2 - 8 y + 1 = 0

f (x) = 4 \cdot 5^{x}

f (x) = \frac{x + 1}{x - 1}

y = - 4 x + 5

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