Answer: The correct option is
(C) f(2) = 92.
Step-by-step explanation: We are given the following function :
[tex]f(x)=9x^2+27x+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the value of f(2).
To find f(2), we must substitute x = 2 in equation (i).
From equation (i), we get
[tex]f(2)\\\\=9\times2^2+27\times2+2\\\\=36+54+2\\\\=92.[/tex]
Thus, the required value of f(2) is 92.
Option (C) is CORRECT.
