What is the domain of f(x)=tan((pix)/2) ?

The domain of f(x)=tan((pix)/2) is 2n<= x<1+2n\lor 1+2n<x<2+2n

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domain of f(x)=tan((pix)/2)

domain

f (x) = tan (\frac{π x}{2})

2 n \leq x < 1 + 2 n or 1 + 2 n < x < 2 + 2 n

Interval Notation

[2 n, 1 + 2 n) \cup (1 + 2 n, 2 + 2 n)

Solution steps

Take the denominator(s) of

tan (\frac{π x}{2})

and compare to zero:

x = 1 + 2 n

Periodicity of

tan (\frac{π x}{2}) : 2

Combine period:

2 n \leq x < 2 + 2 n

and undefined points.

The domain is

2 n \leq x < 1 + 2 n or 1 + 2 n < x < 2 + 2 n

f (x) = \frac{6 x - 1}{2 x + 3}

f (x) = 2 - x - 3

f (x) = - x + 9

f (x) = (x^{2} - 25)^{\frac{1}{5}}

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

What is the domain of f(x)=tan((pix)/2) ?
The domain of f(x)=tan((pix)/2) is 2n<= x<1+2n\lor 1+2n<x<2+2n