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

The domain of f(x)=(ln(x+1))/(sqrt(x)) is x>0

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domain of f(x)=(ln(x+1))/(sqrt(x))

domain

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

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find positive values for logs:

x > - 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

\frac{x}{( 3 x - 1 )}

f (x) = \frac{8 x ^{2} + x}{x ^{2}}

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

g (y) = \frac{4}{y ^{2} - y}

f (x) = - 2 x - 3

What is the domain of f(x)=(ln(x+1))/(sqrt(x)) ?
The domain of f(x)=(ln(x+1))/(sqrt(x)) is x>0