What is the domain of (x^2+10x+21)/(x^2+4x-21) ?

The domain of (x^2+10x+21)/(x^2+4x-21) is x 3

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domain of (x^2+10x+21)/(x^2+4x-21)

domain

\frac{x ^{2} + 10 x + 21}{x ^{2} + 4 x - 21}

x < - 7 or - 7 < x < 3 or x > 3

Interval Notation

(- \infty, - 7) \cup (- 7, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 7

The function domain

x < - 7 or - 7 < x < 3 or x > 3

f (x) = 4 - \frac{x}{2}

f (x) = \frac{5}{x + 2}

f (x) = - 16 t^{2} + 30 t + 5

x^{2} - 2 x + 9

\frac{3}{2} x + 2

What is the domain of (x^2+10x+21)/(x^2+4x-21) ?
The domain of (x^2+10x+21)/(x^2+4x-21) is x<-7\lor-7<x<3\lor x>3