Does grow faster, slower, or at the same rate as g as x? Give reasons for

Does ƒ grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.

a. ƒ(x) = 3^-x, g(x) = 2^-x

b. ƒ(x) = ln 2x, g(x) = ln x²

c. ƒ(x) = 10x³ + 2x², g(x) = e^x

d. ƒ(x) = tan^-1(1/x), g(x) = 1/x

e. ƒ(x) = sin^-1(1/x), g(x) = 1/x²

f. ƒ(x) = sech x, g(x) = e^-x