Correct auth.mdx examples (#34746)

apps/docs/content/guides/database/functions.mdx

@@ -62,7 +62,7 @@ At it's most basic a function has the following parts:
 
 <Admonition type="caution">
 
-When naming your functions, please make the name of the function unique as overloaded functions are not supported.
+When naming your functions, make the name of the function unique as overloaded functions are not supported.
 
 </Admonition>
 

apps/docs/content/guides/functions/auth.mdx

@@ -19,9 +19,11 @@ Deno.serve(async (req: Request) => {
   const supabaseClient = createClient(
     Deno.env.get('SUPABASE_URL') ?? '',
     Deno.env.get('SUPABASE_ANON_KEY') ?? '',
+    // Create client with Auth context of the user that called the function.
+    // This way your row-level-security (RLS) policies are applied.
     {
       global: {
-        headers: { Authorization: req.headers.get('Authorization') },
+        headers: { Authorization: req.headers.get('Authorization')! },
       },
     }
   );
@@ -38,7 +40,7 @@ Importantly, this is done _inside_ the `Deno.serve()` callback argument, so that
 
 ## Fetching the user
 
-After initializing a Supabase client with the Auth context, you can use `getUser()` to fetch the user object, and run queries in the context of the user with [Row Level Security (RLS)](/docs/guides/database/postgres/row-level-security) policies enforced.
+By getting the JWT from the `Authorization` header, you can provide the token to `getUser()` to fetch the user object to obtain metadata for the logged in user.
 
 ```js
 import { createClient } from 'npm:@supabase/supabase-js@2'
@@ -81,9 +83,11 @@ Deno.serve(async (req: Request) => {
   const supabaseClient = createClient(
     Deno.env.get('SUPABASE_URL') ?? '',
     Deno.env.get('SUPABASE_ANON_KEY') ?? '',
+    // Create client with Auth context of the user that called the function.
+    // This way your row-level-security (RLS) policies are applied.
     {
       global: {
-        headers: { Authorization: req.headers.get('Authorization') },
+        headers: { Authorization: req.headers.get('Authorization')! },
       },
     }
   );