What is the domain of ln((sqrt(x^2+1)-1)/x) ?

The domain of ln((sqrt(x^2+1)-1)/x) is x>0

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domain of ln((sqrt(x^2+1)-1)/x)

domain

ln (\frac{x ^{2} + 1 - 1}{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) = lo g_{9} (x - 6)

f (x) = \frac{4 x + 1}{x ^{2} - 4}

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

f (x) = ∣ x - 2 ∣ - 2

f (x) = ∣ x - 2 ∣ - 3

What is the domain of ln((sqrt(x^2+1)-1)/x) ?
The domain of ln((sqrt(x^2+1)-1)/x) is x>0