What is the domain of f(x)= 1/2 tan(t) ?

The domain of f(x)= 1/2 tan(t) is pin<= t< pi/2+pin\lor pi/2+pin<t<pi+pin

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domain of f(x)= 1/2 tan(t)

domain

f (x) = \frac{1}{2} tan (t)

πn \leq t < \frac{π}{2} + πn or \frac{π}{2} + πn < t < π + πn

Interval Notation

Solution steps

Take the denominator(s) of

\frac{1}{2} tan (t)

and compare to zero:

t = \frac{π}{2} + πn

Periodicity of

\frac{1}{2} tan (t) : π

Combine period:

πn \leq t < π + πn

and undefined points.

The domain is

πn \leq t < \frac{π}{2} + πn or \frac{π}{2} + πn < t < π + πn

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f (x) = (\frac{x + 4}{x ^{2} - 16})

f (x) = \frac{3 x}{4 x + 11}

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

2^{2 + x}

What is the domain of f(x)= 1/2 tan(t) ?
The domain of f(x)= 1/2 tan(t) is pin<= t< pi/2+pin\lor pi/2+pin<t<pi+pin