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

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

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domain of f(x)=tan(x)+3

domain

f (x) = tan (x) + 3

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

tan (x) + 3

and compare to zero:

x = \frac{π}{2} + πn

Periodicity of

tan (x) + 3 : 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

y = arcsin (\frac{x}{2} + 5) + \frac{π}{8}

f (x) = tan (x) + 2

x^{2} y - x^{2} + 4 y = 0

f (x) = x^{2} - 7 x - 18

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

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