What is the domain of f(x)=(x^2+x-6)/(x^2+6x+9) ?

The domain of f(x)=(x^2+x-6)/(x^2+6x+9) is x -3

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domain of f(x)=(x^2+x-6)/(x^2+6x+9)

domain

f (x) = \frac{x ^{2} + x - 6}{x ^{2} + 6 x + 9}

x < - 3 or x > - 3

Interval Notation

(- \infty, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3

The function domain

x < - 3 or x > - 3

f (x) = 2 x

y = 3 x^{2} + 12

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

f (x) = \frac{x + 3}{4 - x}

f (x) = 8 - x^{2}, x \geq 0

What is the domain of f(x)=(x^2+x-6)/(x^2+6x+9) ?
The domain of f(x)=(x^2+x-6)/(x^2+6x+9) is x<-3\lor x>-3