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

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

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

domain

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

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) = 3 + 2 x - x^{2}

f (x) = x^{3} - 3

\frac{x - 5}{x ^{2} - 25}

f (x) = (x + 1)^{2} + 1

\frac{4 x - 4}{x + 2}

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