What is the domain of f(x)=tan(pi/(13)x) ?

The domain of f(x)=tan(pi/(13)x) is 13n<= x< 13/2+13n\lor 13/2+13n<x<13+13n

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domain of f(x)=tan(pi/(13)x)

domain

f (x) = tan (\frac{π}{13} x)

13 n \leq x < \frac{13}{2} + 13 n or \frac{13}{2} + 13 n < x < 13 + 13 n

Interval Notation

[13 n, \frac{13}{2} + 13 n) \cup (\frac{13}{2} + 13 n, 13 + 13 n)

Solution steps

Take the denominator(s) of

tan (\frac{π}{13} x)

and compare to zero:

x = \frac{13}{2} + 13 n

Periodicity of

tan (\frac{π}{13} x) : 13

Combine period:

13 n \leq x < 13 + 13 n

and undefined points.

The domain is

13 n \leq x < \frac{13}{2} + 13 n or \frac{13}{2} + 13 n < x < 13 + 13 n

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

f (x) = \frac{x ^{2} + 7 x + 12}{- 3 x - 9}

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

- \frac{1}{x} - 2

\frac{1}{3 - 5 x}

What is the domain of f(x)=tan(pi/(13)x) ?
The domain of f(x)=tan(pi/(13)x) is 13n<= x< 13/2+13n\lor 13/2+13n<x<13+13n