Thread: Inverse domain

The implied domain of y = Cos-1(sin3x)

Solution:
The < and > represent greater than equal to or less than equal to (i dont no what key to press to get them)

-1 < sin3x < 1

sin3x = 1
3x = pie/2
x = pie/6

Therefor [-pie/6, pie/6]

You know that the domain for is .

As you noted, for all x values. Since for every x, sin 3x will produce a number between -1 and 1 and is defined for all these numbers, can you say what the domain is?