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

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

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

domain

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

x < - 1 or x > - 1

Interval Notation

(- \infty, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1

The function domain

x < - 1 or x > - 1

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

f (x) = 4 x

7 - 2 x

(- \frac{7}{2}, \frac{1}{3}), (\frac{1}{2}, \frac{10}{3})

6 x + 2

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