What is the domain of (-x+1)/(3x+6) ?

The domain of (-x+1)/(3x+6) is x -2

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domain of (-x+1)/(3x+6)

domain

\frac{- x + 1}{3 x + 6}

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) = \frac{2 x - 1}{2 x - 6}

\frac{4 - x}{x ^{2} - 16}

f (x) = \frac{x ^{2} - 4}{x ^{2} - 2 x + 1}

\frac{3 x ^{3} - x ^{2} - 12 x + 4}{x ^{2} + 3 x + 2}

\frac{x + 3}{3 x + 2}

What is the domain of (-x+1)/(3x+6) ?
The domain of (-x+1)/(3x+6) is x<-2\lor x>-2