The Baylor GPA Scale Revisited (See in Section 1.2.) The

Chapter 1, Problem 1.376

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The Baylor GPA Scale Revisited (See in Section 1.2.) The function used to convert Baylor School percentage grades to GPAs on a 4-point scale is

\(y=\left(\frac{3^{1.7}}{30}(x-65)\right)^{\frac{1}{1.7}}+1\)

The function has domain [65, 100]. Anything below 65 is a failure and automatically converts to a GPA of 0.

(a) Find the inverse function algebraically. What can the inverse function be used for?

(b) Does the inverse function have any domain restrictions?

(c) Verify with a graphing calculator that the function found in (a) and the given function are really inverses.

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