home.ts

import {
  AfoListObservable,
  AngularFireOfflineDatabase } from 'angularfire2-offline/database';
...

@Component({
  selector: 'page-home',
  templateUrl: 'home.html'
})
export class HomePage {
  tasks: AfoListObservable<any[]>;
  newTask = {name: ''};

  constructor(afoDatabase: AngularFireOfflineDatabase) {
    this.tasks= afoDatabase.list('/tasks');
  }
  ...
}