What is the inverse of the given relation?

y=3x+12

To find the inverse of a relation, we need to switch the x and y variables and then solve for y.

Starting with the given relation:
y = 3x + 12

Switching x and y:
x = 3y + 12

Next, solve for y:
x - 12 = 3y
y = (x - 12) / 3

Therefore, the inverse of the given relation y = 3x + 12 is y = (x - 12) / 3.