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Math·Advanced Math·Nonlinear functions

hard

The functions $f$ and $g$ are defined by the given equations, where $a$ and $b$ are integer constants, $a<b$, and $a>1$. If $y=f(x)$ and $y=g(x)$ are graphed in the $xy$-plane, which of the following equations displays, as a constant or coefficient, the minimum value of the function it defines, where $x\ge 0$?
I. $f(x)=a(0.54{)}^{-bx}$
II. $g(x)=a(1.46{)}^{x+2}+b$

A

I only

B

II only

C

I and II

D

Neither I nor II