Verify by composition that the given functions are inverses.
a. f(x) = 2 − log(3y + 2) ; g(x) = 1 / 3 (100 ⋅ 10−x − 2)
b. f(x) = ln(x) − ln(x + 1); g(x) = e^x / 1−e^x

At the beginning of year 1, carlos invests $600 at an annual compound interest rate of 4%. he makes no deposits to or withdrawals from the account. which explicit formula can be used to find the account's balance at the beginning of year 5? what is, the balance?