• Let f(x)= 3x²+4x-1/x²-4

a. State the domain.

b. State the horizontal asymptote.

c. State the vertical asymptote(s).

• Solve the exponential equation 3^7x=27
• Suppose that $10,000 is invested at an interest rate of 5% per year, compounded continuously. a. Find the exponential function that describes the amount in the account after time t, in years. b. How long will it take for the amount in the account to double? (Round your answer to two decimal places.)
• Find the following:

a. ln e⁵

b. log ₁₇ 1

c. ????⁰

d. log ₅ 5

• Find the inverse of the function f(x) = 3x - 7
• Solve 1/3x+6 - 1/x²-4 = 3/x-2
• Solve ???? 3 + ???? + 2 = 5 . check for extraneous roots.