Answer:
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Explanation:
The inverse of a function is a function that "undoes" the original function. To find the inverse of a function, we can switch the roles of the x and y variables and solve for y.
For example, given the function y = 2/3x - 6, we can switch the roles of x and y to get:
x = 2/3y - 6
To solve for y, we can multiply both sides of the equation by 3/2 to get:
3/2 * x = 2y - 6 * 3/2
3/2 * x = 3y - 9
3 * x = 2 * 3 * y - 9 * 3
3 * x = 6y - 27
x = 2y - 9
Thus, the inverse of the function y = 2/3x - 6 is x = 2y - 9.