To solve each problem, refer to the formulas for compound interest. A = P (1 + r/n)^tn and A = Pe^rt At what interest rate, to the nearest hundredth of a percent, will \$16,000 grow to \$20,000 if invested for 7.25 yr and interest is compounded quarterly?

Use the properties of inverses to determine whether ƒ and g are inverses. ƒ(x) = 5^x, g(x) = log￬5 x

Use the properties of inverses to determine whether ƒ and g are inverses. ƒ(x) = log￬2 x+1, g(x) = 2^x-1

Use the properties of inverses to determine whether ƒ and g are inverses. ƒ(x) = log￬4 (x+3), g(x) = 4^x + 3

Find ƒ^-1(x), and give the domain and range. ƒ(x) = e^x-5

Write an equation for the inverse function of each one-to-one function given. ƒ(x) = 5^x + 1

Write an equation for the inverse function of each one-to-one function given. ƒ(x) = 4^x+2

Find ƒ^-1(x), and give the domain and range. ƒ(x) = e^x + 10