152k views
1 vote
Which x-value is in the domain of the function 7 (x) = 2cot(3x) + 4?

Which x-value is in the domain of the function 7 (x) = 2cot(3x) + 4?-example-1
User Tarun
by
3.4k points

1 Answer

6 votes
Answer:

The correct option is A


(\pi)/(4)

Step-by-step explanation:

The domain of the given function:


f(x)=2cot(3x)+4

is given as:


\lbrace x\in\Re:(3x)/(\pi)\\otin Z\rbrace

Since


(3x)/(\pi)

is not an integer, x must be


(\pi)/(4)

User Ilya Vassilevsky
by
3.5k points