The function given is
[tex]f(x)=32(1.5)^x[/tex]
In order to find the original population, we will substitute x = 0
Therefore,
[tex]\begin{gathered} f(0)=32(1.5)^0=32(1)=32 \\ \therefore f(0)=32 \end{gathered}[/tex]
Hence, the original population of the bird is 32.
