Neveah has created the function f (x) = the quantity of 2x plus 4, divided by 3 to represent the growth of her hair, where x represents the number of months since her last hair cut. Neveah discovers that using the inverse function to solve for x = 6, she can predict when her hair will have grown 6 inches. Explain to Neveah how to accomplish this, using complete sentences.

Step 1: Rewrite the equation, by using y in the place of f (x) : y = (2x + 4) / 3 Step 2: To find the inverse function, switch x and y. That is put x in the place of y and y in the place of x: x = (2y + 4) / 3 Step 3: Solve for y: x = (2y + 4) / 3 multiply both sides by 3 3x = 2y + 4 subtract 4 3x - 4 = 2y divide by 2 (3x - 4) / 2 = y The inverse function is: f^-1 (x) = (3x - 4) / 2