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domain of arctan(1/x)

Solution

domain

arctan (\frac{1}{x})

Solution

x < 0 or x > 0

+1

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

Popular Examples

domain of sqrt(χ^3-4χ)domain

χ^{3} - 4 χ

domain of f(x)=sin(ln(x))domain

f (x) = sin (ln (x))

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

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

domain of 4x^2 domain

4 x^{2}

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

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

Frequently Asked Questions (FAQ)

What is the domain of arctan(1/x) ?
The domain of arctan(1/x) is x<0\lor x>0