hi, the formula below represents bird population of a forest X years after it was studied ...I need to find out original population of birds....I hope I described it correct [tex]f(x) = 32(1.5 {)}^{x} [/tex]

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.