Question

Find the domain of the function y = 3 tan( x). 1) all real number except odd integer multiples of 3\pi /4, 2) all real numbers except 0 and integer multiples of 3\pi /4

Answer 1

The domain of the function y = 3 tan(x) is all real numbers except 0 and integer multiples of π/4.

Step-by-step explanation:

The domain of the function y = 3 tan(x) is all real numbers except 0 and integer multiples of π/4.

Tan(x) is undefined when x = π/2, 3π/2, 5π/2, etc. In this case, tan(x) is also undefined when it is multiplied by 3 since any number multiplied by undefined results in undefined.

Therefore, the domain of y = 3 tan(x) is all real numbers except 0 and integer multiples of π/4.