It is known that y is the inverse proportional function of X, and when x = 3, y = - 8. (1) write the functional relationship between Y and X. (2) find the value of X when y = 2

It is known that y is the inverse proportional function of X, and when x = 3, y = - 8. (1) write the functional relationship between Y and X. (2) find the value of X when y = 2

Y is the inverse proportional function of X, let y = K / X
If x = 3, y = - 8, then: - 8 = K / 3, k = - 24
So, y = - 24 / X
When y = 2, substituting into the function y = - 24 / x, we get 2 = - 24 / x, and the solution x = - 12