What is the domain of (tan(x))/7 ?

The domain of (tan(x))/7 is pin<= x< pi/2+pin\lor pi/2+pin<x<pi+pin

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domain of (tan(x))/7

domain

\frac{tan ( x )}{7}

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

Interval Notation

Solution steps

Take the denominator(s) of

\frac{tan ( x )}{7}

and compare to zero:

x = \frac{π}{2} + πn

Periodicity of

\frac{tan ( x )}{7} : 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) = e^{x - π} + 4

[- 4.3]

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

f (x) = ∣ x ∣, x < 2

\frac{1 - 2 x}{x - 3}

What is the domain of (tan(x))/7 ?
The domain of (tan(x))/7 is pin<= x< pi/2+pin\lor pi/2+pin<x<pi+pin