What is the domain of tan(pi/5 x) ?

The domain of tan(pi/5 x) is 5n<= x< 5/2+5n\lor 5/2+5n<x<5+5n

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domain of tan(pi/5 x)

domain

tan (\frac{π}{5} x)

5 n \leq x < \frac{5}{2} + 5 n or \frac{5}{2} + 5 n < x < 5 + 5 n

Interval Notation

[5 n, \frac{5}{2} + 5 n) \cup (\frac{5}{2} + 5 n, 5 + 5 n)

Solution steps

Take the denominator(s) of

tan (\frac{π}{5} x)

and compare to zero:

x = \frac{5}{2} + 5 n

Periodicity of

tan (\frac{π}{5} x) : 5

Combine period:

5 n \leq x < 5 + 5 n

and undefined points.

The domain is

5 n \leq x < \frac{5}{2} + 5 n or \frac{5}{2} + 5 n < x < 5 + 5 n

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

(5.3) (- 3.6)

f (x) = 2 x^{3}

f (x) = \frac{x - 9}{9 x ^{2}}

f (x) = \frac{9 x}{x + 9}

What is the domain of tan(pi/5 x) ?
The domain of tan(pi/5 x) is 5n<= x< 5/2+5n\lor 5/2+5n<x<5+5n