Answer:
The function f of x equals 6 x + 2. First, replace the function notation f of x with y. y equals 6 x plus 2. Reverse the x and y variables. x equals 6 y plus 2. Solve for y by isolating it on one side of the equal sign. First subtract 2 from both sides of the equation. x minus 2 equals 6 y. Divide both sides by 6. The quantity of x minus 2 divided by 6 equals 6 y over 6. The quantity x minus 2 over 6 equals y. Replace y with the inverse function notation. The quantity of x minus 2 divided by 6 equals the inverse function of x. Now solve for the inverse function when x equals two. Substitute 2 for each x. The quantity of 2 minus 2 divided by 6 equals the inverse function of 2. Simplify. 0 divided by 6 equals the inverse function of 2. When x equals two, the corresponding y value on the inverse function is zero. 0 equals the inverse function of 2.