Find the range of `f(x)=1/((cosx-3)^2+(sinx+4)^2)`

Explanation

To find the range of the function \( f(x) = \frac{1}{(\cos x - 3)^2 + (\sin x + 4)^2} \), we will analyze the expression step by step.

### Step 1: Rewrite the function
We start with the function:
\[ f(x) = \frac{1}{(\cos x - 3)^2 + (\sin x + 4)^2} \]

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