The equation y= (5/9)(x-32) relates a temperature given in x degrees Fahrenheit to the corresponding temperature y measured in degrees Celsius. a. Solve the equation y=(5/9)(x-32) to write x (Fahrenheit temperature) in terms of y (Celsius temperature) Type your response here . Let C(x)-(5/9)(x-32jbe the function that takes a Fahrenheit temperature as input and produces the Celsius temperature as output. In addition, let Fly) be the function that converts a temperature given in y degrees Celsius to the temperature F(y) measured n degrees Fahrenheit. Use your work in (a) to write a formula for F(y) Type your response here c. Next consider the new function defined by p(x]=FC (x)).Use the formulas for F and @ to determine an expression for p(x) and simplify this expression as much as possible. What do you observe? Type your response here Now, let r(y)=F(C(y)).Use the formulas for F and C to determine an expression for r(y) and simplify this expression as much as possible. What do you observe? Type your response here. e. What is the value of C'(x) ? of F(y)? How do these values appear to be related