What is the domain of f(x)=ln(pi/x)+arctan(2x) ?

The domain of f(x)=ln(pi/x)+arctan(2x) is x>0

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domain of f(x)=ln(pi/x)+arctan(2x)

domain

f (x) = ln (\frac{π}{x}) + arctan (2 x)

x > 0

Interval Notation

(0, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

f (x) = \frac{5 x + 3}{3 x - 4}

y = x^{2} + 4 x

f (x) = 100 - x^{2}

f (x) = e^{x^{2} - 6 x + 8}

f (x) = (x - 2)^{2}

What is the domain of f(x)=ln(pi/x)+arctan(2x) ?
The domain of f(x)=ln(pi/x)+arctan(2x) is x>0