What is the domain of 3tan(x)+2 ?

The domain of 3tan(x)+2 is pin<= x< pi/2+pin\lor pi/2+pin<x<pi+pin

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domain of 3tan(x)+2

domain

3 tan (x) + 2

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

Interval Notation

[πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Solution steps

Take the denominator(s) of

3 tan (x) + 2

and compare to zero:

x = \frac{π}{2} + πn

Periodicity of

3 tan (x) + 2 : π

Combine period:

πn \leq x < π + πn

and undefined points.

The domain is

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

f (x) = \frac{1}{x ^{2} + 5 x + 6}

\frac{13}{10 - x}

f (x) = \frac{x - 5}{3 x ^{2} + 4}

f (x) = lo g_{10} (x^{2} - 5 x)

4 x + 16

What is the domain of 3tan(x)+2 ?
The domain of 3tan(x)+2 is pin<= x< pi/2+pin\lor pi/2+pin<x<pi+pin