D&C 20

The Prophet Joseph Smith and the Church was instructed with this doctrine -

"...we know that there is a God in heaven, who is infinite and eternal, from everlasting to everlasting the same unchangeable God, the framer of heaven and earth, and all things which are in them;

18 And that he created man, male and female, after his own image and in his own likeness, created he them;

19 And gave unto them commandments that they should love and serve him, the only living and true God, and that he should be the only being whom they should worship."  (Doctrine and Covenants 20:17–19)

Worship means "the feeling or expression of reverence and adoration for a deity."  This definition would seem to justify also worshipping the Savior.  But much of scripture suggests -  

"...believe in Christ, and worship the Father in his name..." (2 Nephi 25:16)