What is the domain of f(x)=(x^2+2x-3)/(x^2+5x+6) ?

The domain of f(x)=(x^2+2x-3)/(x^2+5x+6) is x -2

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domain of f(x)=(x^2+2x-3)/(x^2+5x+6)

domain

f (x) = \frac{x ^{2} + 2 x - 3}{x ^{2} + 5 x + 6}

x < - 3 or - 3 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 3) \cup (- 3, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 3

The function domain

x < - 3 or - 3 < x < - 2 or x > - 2

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

7 x^{2} + 8

f (x) = x^{(3)} - 7 x^{(2)} + 10 x

f (x) = 2 \cdot 2^{x}

f (x) = \frac{x + 5}{x - 9}

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