Cookie persist Fail with One Virtual server but have many pool (different member too)

Can this irule work? or I need to insert cookie in HTTP response or have to do another rule

    ltm rule /Common/irule_vs_choosepool {
    when HTTP_REQUEST {
   set uri [HTTP::uri]
   if { $uri starts_with "/agent" " } { 
      pool agent_pool
      persist cookie insert agent 0
   }
   elseif { $uri starts_with "/member" } { 
      pool member-pool
      persist cookie insert member 0
   }
   elseif { $uri starts_with "/employer" } { 
      pool employer-pool
      persist cookie insert employer 0
   }
    else {
      pool default-pool
 }