I need MATLAB code for this question

(4 pts) The Lambert-W function W(y) is defined as the inverse of the following function: f(x)=xex. In other words, W(y) is defined as the value of x that solves xex=y. For any given value yc1, there is a unique x that solves this equation. But unfortunately, we can't write a formula for x=W(y) ! In this problem, your job is to evaluate x=W(y) where y=a.bc. Here, a,b, and c are the first three non-zero digits of your student ID number. (a) (1 pt) Explain how you could solve this by finding a root of an appropriate function g(x). How would you implement g(x) as an inline function in MATLAB? Hint: Your g(x) will need to involve your specific value of y as a constant. (b) (1 pt) Using MATLAB, plot g(x) over a range of x large enough to include the zero of g. (c) (1 pt) Based on how your plot looks, what would be a good starting guess x0 for the root, which you could use in Newton's method? You should get x0 just by "eye-balling" your plot. You only need to estimate x0 to, say, two significant figures. (d) (1 pt) Use MATLAB's fzero command to find the true root x of your function g(x), starting from the initial guess you identified in (c). Verify that f(x) (above) is very close to the desired value y