Answer:
[tex]f(x)=\frac{1}{100} (\frac{1}{2})^{x}[/tex]
Step-by-step explanation:
[tex]f(x)=ab^{x} \\\\f(0)=\frac{1}{100\\}[/tex]
⇒ [tex]a=\frac{1}{100} \\\\f(1)=\frac{1}{200}\\ \\a.b=\frac{1}{200} \\\\[/tex]
⇒[tex]\frac{1}{100} .b=\frac{1}{200}[/tex]
⇒b=[tex]\frac{1}{2}[/tex]
⇒[tex]f(x)=\frac{1}{100} (\frac{1}{2})^{x}[/tex]
hope it helps
