Find the domain and range of the function `f(x)=1/(2-sin3x)` .

Explanation

To find the domain and range of the function \( f(x) = \frac{1}{2 - \sin 3x} \), we will follow these steps:

### Step-by-Step Solution:

1. **Determine the Domain:**

The function \( f(x) \) is defined as long as the denominator \( 2 - \sin 3x \) is not zero. Therefore, we need to find when the denominator is zero and exclude those values from the domain.

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