The question in the image seems to be asking for the correct simplification of a mathematical expression. Let's break down the main expression step by step to find the correct option.

The expression is:

[ \frac{\sqrt[4]{8} + \sqrt[4]{32}}{\sqrt{6} - \sqrt[3]{9}} - 2(\sqrt[7]{9} - 1)^{-1} ]

We will simplify each part of this expression:

1. Simplify the numerator:

   • $\sqrt[4]{8} + \sqrt[4]{32}$

   [ \sqrt[4]{8} = (2^3)^{1/4} = 2^{