The Trinity concept as one being manifest through three personages is not supported by scripture. It was not until the councils of Nicaea (AD 325) and Chalcedon (AD 451) that the doctrine of the Trinity was defined. The formal doctrine of the Trinity is not found in the New Testament because the idea was only introduced hundreds of years later. Some Christians such as LDS and others center their faith instead on the Godhead as three distinct personages as supported by scripture.
Remember the story in Matthew when Jesus was baptized by John the Baptist? It’s a perfect example of three distinct beings acting together—as a Godhead—to accomplish the will of Heavenly Father.
“And Jesus, when he was baptized, went up straightway out of the water: and, lo, the heavens were opened unto him, and he saw the Spirit of God descending like a dove, and lighting upon him: And lo a voice from heaven, saying, This is my beloved Son, in whom I am well pleased” [Matthew 3:16–17].
In that moment, all three members of the Godhead were present. Christ, being baptized; the Holy Ghost, as indicated by the sign of the dove; and Heavenly Father’s voice emanating from the heavens.
Another key scripture passage that points to the Godhead comprising three different personages recounts some of the last words Jesus spoke while on this earth.
“Then said Jesus, Father, forgive them; for they know not what they do” [Luke 23:35].
Even while Jesus hung on the cross, suffering for the sins of the world, He asked God the Father to forgive the Roman soldiers who were crucifying Him. Christ advocated with Heavenly Father on behalf of those soldiers for their forgiveness.
Also, Jesus taught that we should pray to the Father. In His explanation on this matter, known as the Lord’s Prayer: see [Matthew 6]. He addresses the Father as a separate being.
There are other things in the Bible that also point to the Trinity being 3 distinct individuals.