This is a matlab question. Can you write the code in matlab and explain the reason please.

7.6. Lambert's W function is defined as the inverse of the function f (x)-xe*. It has no simple analytic expression. Write a function Wlambert (x) that evaluates Lambert's W at any value of x > 0. (Hint: Solve the expres- sion x = yey for y given x, using f zero.)