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

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

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domain of f(x)= 1/(3x+6)

domain

f (x) = \frac{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

y = 3 x + 2

2 x + y = - 7

\frac{( x ^{2} - 2 )}{( 4 x ^{5} + 2 x ^{3} - 3 x + 1 )}

ln (7 - x)

f (x) = \frac{x ^{2}}{x ^{2} - 16}

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