What is the domain of f(x)=3tan(x),-pi<= x<= pi ?

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

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domain of f(x)=3tan(x),-pi<= x<= pi

domain

f (x) = 3 tan (x), - π \leq x \leq π

- π \leq x < - \frac{π}{2} or - \frac{π}{2} < x < \frac{π}{2} or \frac{π}{2} < x \leq π

Interval Notation

[- π, - \frac{π}{2}) \cup (- \frac{π}{2}, \frac{π}{2}) \cup (\frac{π}{2}, π]

Solution steps

Set the domain to the given interval

- π \leq x \leq π

Take the denominator(s) of

3 tan (x)

and compare to zero:

x = \frac{π}{2}, x = - \frac{π}{2}

The function domain

- π \leq x < - \frac{π}{2} or - \frac{π}{2} < x < \frac{π}{2} or \frac{π}{2} < x \leq π

3 x^{2} - 6 x

f (x) = \frac{18 x + 24}{x ^{2} + 5 x + 6}

16 x + 3

f (x) = lo g_{x} (x - 3)

- \frac{1}{x + 2}

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