Hosea wrote to the people of Israel at a time when there were serious problems in the nation: morally, socially, economically, politically and spiritually. Israel's relationship with God was broken. This is why Hosea is so relevent to us today.
With all the problems we face personally, domesically, nationally and internationally, they all come down to one thing: our hearts are not right and our relationship with God is broke. Yet God's heart beats for us. He does not want us to give up!
The author is also a great sinner, more like Gomer than Hosea, and knows only too well sin's power and guilt but trusts in the God whose heart is revealed to us in this amazing book - the same God who invites us all, in whatever state we are in, to come to him.