A formula for converting degrees Fahrenheit to degrees Centigrade is: 5 y = f(x) = (x...

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A formula for converting degrees Fahrenheit to degrees Centigrade is: 5 y = f(x) = (x +40) - 40. Here x is the temperature in degrees Fahrenheit and y = f(x) is the temperature in degrees Centigrade. What are f(-40) and f(32)? • Solve for x given y to get a formula giving x in terms of y, say x = g(y). What is the meaning of this formula? Explain. Suppose that the function f is restricted to the domain -40 ≤ x ≤ 212. Plot its graph. If the domain of the function g is the range of the function f, what then is the domain of the function g? Explain. • Compute the compositions g of and fog and discuss your results. A formula for converting degrees Fahrenheit to degrees Centigrade is: 5 y = f(x) = (x +40) - 40. Here x is the temperature in degrees Fahrenheit and y = f(x) is the temperature in degrees Centigrade. What are f(-40) and f(32)? • Solve for x given y to get a formula giving x in terms of y, say x = g(y). What is the meaning of this formula? Explain. Suppose that the function f is restricted to the domain -40 ≤ x ≤ 212. Plot its graph. If the domain of the function g is the range of the function f, what then is the domain of the function g? Explain. • Compute the compositions g of and fog and discuss your results.