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://tex.z-dn.net/?f=f%28x%29%3D9x%5E2%2B27x%2B2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28i%29)
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\times2^2+27\times2+2\\\\=36+54+2\\\\=92.](https://tex.z-dn.net/?f=f%282%29%5C%5C%5C%5C%3D9%5Ctimes2%5E2%2B27%5Ctimes2%2B2%5C%5C%5C%5C%3D36%2B54%2B2%5C%5C%5C%5C%3D92.)
Thus, the required value of f(2) is 92.
Option (C) is CORRECT.