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

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

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

domain

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

x < - 4 or x > - 4

Interval Notation

(- \infty, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4

The function domain

x < - 4 or x > - 4

f (x) = e^{- 4 x}

f (x) = \frac{1 - 9 x}{8}

sin (x)

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

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

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