What is the domain of f(x)=(ln(t))/t ?

The domain of f(x)=(ln(t))/t is t>0

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domain of f(x)=(ln(t))/t

domain

f (x) = \frac{ln ( t )}{t}

t > 0

Interval Notation

(0, \infty)

Solution steps

Find positive values for logs:

t > 0

Find undefined (singularity) points:

t = 0

Combine real regions and undefined points for final function domain

t > 0

\frac{x ^{2} - 9}{x + 1}

f (x) = \frac{1}{4 x ^{2} ( x ^{2} - 3 ) ^{2}}

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

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

f (x) = \frac{6}{x ( x - 3 )}