Final answer:
To rewrite the given relation as a function of x, isolate y on one side of the equation by rearranging it. Move all the y terms to one side and divide both sides by the coefficient of y to isolate y. The resulting function of x is y = (x² - 4x) / 6.
Step-by-step explanation:
To rewrite the given relation as a function of x, we need to isolate y on one side of the equation. Let's start by rearranging the equation:
x² - 4x - y = 5y
Move all the y terms to one side:
x² - 4x = 6y
Divide both sides by 6 to isolate y:
y = (x² - 4x) / 6
Therefore, the function of x is y = (x² - 4x) / 6.