A more pedantic approach with `sed`:
sed 's/\(mysqli_select_db(\)\([^,]*\)\(,[[:space:]]*\)\([^)]*\))/\1\4\3\2)/g' file
* `s/` substitute
* `\(` start capturing group 1
* `mysqli_select_db(` match literal string
* `\)` end capturing group 1
* `\(` start capturing group 2
* `[^,]*` match any non-comma characters
* `\)` end capturing group 2
* `\(` start capturing group 3
* `,[[:space:]]*` match comma and optional space characters
* `\)` end capturing group 3
* `\(` start capturing group 4
* `[^)]*` match any non-`)` characters
* `\)` end capturing group 4
* `)` closing `)` of command
* `/\1\4\3\2)/g` replace with capturing groups 1, 4, 3, 2 and closing `)`