Answer: The correct option is
(C) f(2) = 92.
Step-by-step explanation: We are given the following function :
![f(x)=9x^2+27x+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ago01qony4mjppgab13im7cum2l4dltmhe.png)
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
![f(2)\\\\=9*2^2+27*2+2\\\\=36+54+2\\\\=92.](https://img.qammunity.org/2020/formulas/mathematics/high-school/zb89x7707w6u59pqx7tdej322dh5wlm679.png)
Thus, the required value of f(2) is 92.
Option (C) is CORRECT.