Part a , part b and part c with explanation because I'm lost

Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can write that as A (r) = 2 ar2 + 8 mr. What is the domain of A (r)? In other words, for which values of r is A (r) defined? Part b: Continue to assume that the height of your cylinder is 4 inches. Write the radius r as a function of A. This is the inverse function to A (r), ie to turn A as a function of r into. r as a function of A. T( A) = Hints: . To calculate an inverse function, you need to solve for r. Here you would start with A = 2 mr2 + 8 7T. This equation is the same as 2 mr- + 8 7 - A - 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. . If you want to type in 3 7+1 in Mobius, in text mode you can type in (3*pit1)/(x+1). There is more information in the Introduction to Mobius unit. Part c. If the surface area is 175 square inches, then what is the rardius r? In other words, evaluate T (175). Round your answer to 2 decimal places