Answer: The required value of f(3) is 81.
Step-by-step explanation: We are given the following function :
[tex]f(x)=\left(\dfrac{1}{9}\right)9^x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the value of f(3).
Substituting x = 3 in equation (i), we get
[tex]f(3)\\\\\\=\left(\dfrac{1}{9}\right)\times9^3\\\\=9^2\\\\=81.[/tex]
Thus, the required value of f(3) is 81.
