Exclude Home Page

Hi, and why would you need to do that?

There is already an option to disable it for logged in users, just enable the fix page editors option.

Whatever the reason to disable it on fvm, you are probably better off solving the conflicts or trying different settings:
https://ww.wp.xz.cn/plugins/fast-velocity-minify/faq/

As for disabling on the home, you can do it with some code on functions.php

# disable FVM on homepage
if(is_home || is_front_page()) {
	if(function_exists('fastvelocity_min_merge_header_scripts')) {
		remove_action('wp_print_scripts', 'fastvelocity_min_merge_header_scripts', PHP_INT_MAX );
		remove_action('wp_print_footer_scripts', 'fastvelocity_min_merge_footer_scripts', 9.999999 ); 
		remove_action('wp_print_styles', 'fastvelocity_min_merge_header_css', PHP_INT_MAX ); 
		remove_action('wp_print_footer_scripts', 'fastvelocity_min_merge_footer_css', 9.999999 );
		remove_action('init', 'fastvelocity_min_disable_wp_emojicons');
		remove_action('template_redirect', 'fastvelocity_min_html_compression_start', PHP_INT_MAX);
		remove_filter('style_loader_src', 'fastvelocity_remove_cssjs_ver', 10, 2);
		remove_filter('script_loader_tag', 'fastvelocity_min_defer_js', 10, 3); 
		remove_filter('script_loader_tag', 'fastvelocity_min_defer_js_optimize', 10, 3);
	}
}