What is the domain of f(x)= 1/(2x+6) ?

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

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domain of f(x)= 1/(2x+6)

domain

f (x) = \frac{1}{2 x + 6}

x < - 3 or x > - 3

Interval Notation

(- \infty, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3

The function domain

x < - 3 or x > - 3

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

f (x) = \frac{2 x ^{2} + 5 x - 12}{x + 4}

f (x) = \frac{2 x ^{2} - 5}{3 x + 6}

f (x) = \frac{7}{x ^{2} - 36}

f (x) = lo g_{1} (x)

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