The scripture content for this portion of this post is found in Genesis 1:26.
Domination has a mainly negative connotation today because of our current fallen concepts but the original notion of creation dominated by Man, the agent of God’s love in action, represents a completely different idea. To shape creation and each other with a love which preserves and elevates was the original purpose for our God given charge. God would shape, preserve and experience relationship with creation through humanity with whom He enjoyed a loving fellowship.
For this reason, as God created humanity in His image and likeness, He gave humanity the ability to procreate humanity in its own image and likeness. To have the ability to bring forth a unique soul into creation is the ultimate human expression of light. God's ultimate creation is the human soul and God has bestowed humanity with the ability to procreate these original and unique expressions of God's light. Our offspring do not just resemble us physically and soulishly but our endowed through procreation with our spiritual nature.
Through the image and likeness of God in humanity’s original nature coupled with the ability to populate the earth with procreated souls in God’s image and likeness and with God’s declaration for us to take dominion and subdue the earth, humanity was originally equipped with every ability and armed with every authority to shape creation with God's love.
We should note that the idea that humanity was to bring the earth under subjection implies that the earth was not completely subject to the will of God already. Why else would humanity have to subdue a world already completely subject to God.
I will pause here at the precipice of a theological cliff that I refuse to jump off. In a previous post I have stated that God was imposing His nature and will on the darkened void of the earth when He declares let there be light in Genesis 1:3, and now I imply that the world was not completely under subjection to God’s light when He created the man and the woman.
There exist between Genesis 1:1 and 1:2 a chasm of theological debate. Some scholars will say that verse 2 indicates creation incomplete and what follows is God completing his creation. Others say that verse 2 indicates creation after some cataclysmic event, and what follows is God returning order to the chaos. I will refer you to the many theological works, of which this is not one, to answer your potential questions.
Either view will allow for God expressing His nature and will in Genesis 1:3 as light, as well as humanity being charged with bringing the rest of the world under subjection to God’s image and likeness in Genesis 1:26.
In either case humanity is both God’s representative agent of light as well as God’s crowning achievement of light. Creation is incomplete and undone without the agency of pre-fall humanity.