What is the domain of f(x)= x/(x^2+17x+66) ?

The domain of f(x)= x/(x^2+17x+66) is x -6

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domain of f(x)= x/(x^2+17x+66)

domain

f (x) = \frac{x}{x ^{2} + 17 x + 66}

x < - 11 or - 11 < x < - 6 or x > - 6

Interval Notation

(- \infty, - 11) \cup (- 11, - 6) \cup (- 6, \infty)

Solution steps

Find undefined (singularity) points:

x = - 6, x = - 11

The function domain

x < - 11 or - 11 < x < - 6 or x > - 6

(- 1, 2), (- 2, - 4)

f (x) = 3 + (4 + x)^{\frac{1}{2}}

f (x) = \frac{x + 3}{( 2 x + 3 ) ( x - 1 )}

f (x) = \frac{2}{x + 1} + 3

- 2 x^{2} - 2 x - 2

What is the domain of f(x)= x/(x^2+17x+66) ?
The domain of f(x)= x/(x^2+17x+66) is x<-11\lor-11<x<-6\lor x>-6