What is the domain of f(x)=-2tan(3x)+3 ?

The domain of f(x)=-2tan(3x)+3 is pi/3 n<= x< pi/6+pi/3 n\lor pi/6+pi/3 n<x< pi/3+pi/3 n

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domain of f(x)=-2tan(3x)+3

domain

f (x) = - 2 tan (3 x) + 3

\frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

Interval Notation

Solution steps

Take the denominator(s) of

- 2 tan (3 x) + 3

and compare to zero:

x = \frac{π}{6} + \frac{π}{3} n

Periodicity of

- 2 tan (3 x) + 3 : \frac{π}{3}

Combine period:

\frac{π}{3} n \leq x < \frac{π}{3} + \frac{π}{3} n

and undefined points.

The domain is

\frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

sin (x) 2 cos (x) - 1, 0 \leq x \leq 2 π

x - 2 x^{2} - 6

f (x) = 7 x - 9

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

f (x) = \frac{ln ( x + 1 )}{e ^{x} - 1}

What is the domain of f(x)=-2tan(3x)+3 ?
The domain of f(x)=-2tan(3x)+3 is pi/3 n<= x< pi/6+pi/3 n\lor pi/6+pi/3 n<x< pi/3+pi/3 n