What is the domain of f(x)=(x+7)/(x^2+4x-21) ?

The domain of f(x)=(x+7)/(x^2+4x-21) is x 3

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domain of f(x)=(x+7)/(x^2+4x-21)

domain

f (x) = \frac{x + 7}{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) = \frac{( x + 20 )}{x - 16}

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

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

f (x) = 6 x - 9

f (x) = e^{x}

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