What is the domain of f(x)=(1-3x)/(2+x) ?

The domain of f(x)=(1-3x)/(2+x) is x -2

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domain of f(x)=(1-3x)/(2+x)

domain

f (x) = \frac{1 - 3 x}{2 + x}

x < - 2 or x > - 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

f (x) = x^{2} + 5 x + 6

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

\frac{x}{x ^{2} - 16}

m = \frac{1}{9}, (- 9, - 8)

\frac{x - 2}{x - 6}

What is the domain of f(x)=(1-3x)/(2+x) ?
The domain of f(x)=(1-3x)/(2+x) is x<-2\lor x>-2