What is the domain of f(x)=(x+4)/(x^2+5x-14) ?

The domain of f(x)=(x+4)/(x^2+5x-14) is x 2

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domain of f(x)=(x+4)/(x^2+5x-14)

domain

f (x) = \frac{x + 4}{x ^{2} + 5 x - 14}

x < - 7 or - 7 < x < 2 or x > 2

Interval Notation

(- \infty, - 7) \cup (- 7, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 7

The function domain

x < - 7 or - 7 < x < 2 or x > 2

ln (- \frac{- 5 - 3 x ^{2}}{x ^{2} + 1})

- ln (1 - ln (x))

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

\frac{1}{( t - 5 ) ^{7}}

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

What is the domain of f(x)=(x+4)/(x^2+5x-14) ?
The domain of f(x)=(x+4)/(x^2+5x-14) is x<-7\lor-7<x<2\lor x>2