Answer
$f(x)=5(0.6)^{x}$
Work Step by Step
$\displaystyle \frac{3}{5}=0.6,\qquad \frac{1.8}{3}=0.6$
When $x$ increases by $1,\quad f(x)$ is multiplied by $0.6$
$\Rightarrow b=0.6$
$f(0)=Ab^{0}=5\Rightarrow \quad A=5$
Thus,
$f(x)=5(0.6)^{x}$