Please solve these problems and show me your work.

Consider the polynomial f(x) + 2x + 1. This function satisfies the horizontal line test and therefore has an inverse function f-1(x). In this d problem we will ask about its derivative -, (f (r)). It is too hard to solve for f (x) directly, but the derivative is not too hard to solve for thanks to implicit differentiation. a) Find the following values. For each, either show your calculation or write one sentence to explain how you arrived at your answer. . f (2) . f (13) . f-(f (29) ) (b) Similar to Question 5 on the Module 4 Part 2 content sheet, we will now use implicit differentiation to find the derivative of the inverse function f (x). Start by setting y - f (x). This implies that z = f(y), since inverse functions switch x and y values. Now use implicit differentiation on x = y' + 2y +1 and solve for y'. (c) Now y' = (f (x)). Use your work from part (b) to find the slope of the line tangent to y = f '(x) at x - 13