What is the domain of f(x)=(x+9)/(x^2+4x-21) ?

The domain of f(x)=(x+9)/(x^2+4x-21) is x 3

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domain of f(x)=(x+9)/(x^2+4x-21)

domain

f (x) = \frac{x + 9}{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) = - e^{x - π} + 4

f (x) = 8 x^{4} - 48 x^{2}

f (x) = - \frac{1}{2} (x + 9) + 7

g (t) = t^{2} + 4

- 4 + 5 x^{2}

What is the domain of f(x)=(x+9)/(x^2+4x-21) ?
The domain of f(x)=(x+9)/(x^2+4x-21) is x<-7\lor-7<x<3\lor x>3