The domain of definition of `f(x)=sqrt((x+3)/((2-x)(x-5)))` is `(-oo,-3]uu(2,5)` (b) `(-oo,-3)uu(2,5)` (c) `(-oo,-3]uu[2,5]` (d) none of these

Explanation

To find the domain of the function \( f(x) = \sqrt{\frac{x + 3}{(2 - x)(x - 5)}} \), we need to consider two main conditions:

1. The expression inside the square root must be non-negative (greater than or equal to zero).
2. The denominator must not be zero.

### Step 1: Set the denominator not equal to zero
The denominator is \( (2 - x)(x - 5) \). We set this not equal to zero:
\[
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