What is the domain of (ln(x)sinh(x))/x ?

The domain of (ln(x)sinh(x))/x is x>0

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domain of (ln(x)sinh(x))/x

domain

\frac{ln ( x ) sinh ( x )}{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_{2} (1 - x^{2})

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

f (x) = ln (x^{2} + 64)

\frac{3 x}{8 x - 1}

y = \frac{7}{x ( x - 4 )}