What is the domain of f(x)= 1/(x+4)+1 ?

The domain of f(x)= 1/(x+4)+1 is x -4

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domain of f(x)= 1/(x+4)+1

domain

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

x < - 4 or x > - 4

Interval Notation

(- \infty, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4

The function domain

x < - 4 or x > - 4

y = x^{2} + x + 1

x - 1 - 4

y = (1 - x)^{2}

\frac{4 x - 3}{6 - 3 x}

- \frac{1}{x - 4}

What is the domain of f(x)= 1/(x+4)+1 ?
The domain of f(x)= 1/(x+4)+1 is x<-4\lor x>-4