Find the domain of the function y = 1 / x ^ 2 + 4.

We have a function:

y = 1 / (x ^ 2 + 4).

To find it, note that the only restriction on the variable is its presence in the denominator of the fraction. Consider the denominator of the fraction.

x ^ 2 + 4 – the sum of the square of the variable (always a non-negative value) and a positive number – always takes a positive value, which means that there are no restrictions on the value of the variable. The scope of a function is any number.




One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.

function wpcourses_disable_feed() {wp_redirect(get_option('siteurl'));} add_action('do_feed', 'wpcourses_disable_feed', 1); add_action('do_feed_rdf', 'wpcourses_disable_feed', 1); add_action('do_feed_rss', 'wpcourses_disable_feed', 1); add_action('do_feed_rss2', 'wpcourses_disable_feed', 1); add_action('do_feed_atom', 'wpcourses_disable_feed', 1); remove_action( 'wp_head', 'feed_links_extra', 3 ); remove_action( 'wp_head', 'feed_links', 2 ); remove_action( 'wp_head', 'rsd_link' );