If the domain of the function \(f(x)={\log }_{7}\left(1-{\log }_{4}\left({x}^{2}-9x+18\right)\right)\) is \((\alpha ,\be…

If the domain of the function \(f(x)={\log }_{7}\left(1-{\log }_{4}\left({x}^{2}-9x+18\right)\right)\) is \((\alpha ,\beta )\cup (\gamma ,\delta )\), then \(\alpha +\beta +\gamma +\delta\) is equal to

[JEE Main 2025, 3 Apr (Shift 2)]