Let $f(x) = \frac{1}{7 - \sin 5x}$ be a function defined on $R$. Then the range of the function $f(x)$ is equal to:
- A$\left[\frac{1}{8}, \frac{1}{5}\right]$
- B$\left[\frac{1}{7}, \frac{1}{6}\right]$
- C$\left[\frac{1}{7}, \frac{1}{5}\right]$
- D$\left[\frac{1}{8}, \frac{1}{6}\right]$
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