College Algebra

INSTRUCTIONS: You should read (as many times as necessary) Sections 5.1-5.2 in our text. You should know how to complete the following problems: Section 5.1 #1-45 (Odds) Section 5.2 #1-45 (Odds) The following problems should be turned in NO LATER than the beginning of class on Nov 24. To receive FULL credit you must answer the following questions on a separate sheet of paper. Your answers must also be legible and show complete detail. If you are unsure what this means please contact me. 1. Let f(x) = 2x ?? 5: (a) Prove that f(x) is one-to-one using the denition we stated in class. (b) Determine a formula for the inverse f??1(x): 2. Let g(x) = (x ?? 5)3 + 4: (a) Prove that g(x) is one-to-one using the denition we stated in class. (b) Determine a formula for the inverse g??1(x): 3. Consider the beautiful function A(t) = P 1 + r n nt : This function is used to determine how an investment of P dollars grows after t years if the interest (at rate r) is compounded n times per year. Suppose that $25; 000 is invested at 3:7% interest, compounded quarterly. Determine the amount of money in the account at t = 0; 5; and 30 years. 1