High School

Given the function \( f(x) = 9x^2 + 27x + 2 \), find \( f(2) \).

A) \( f(2) = 65 \)
B) \( f(2) = 76 \)
C) \( f(2) = 92 \)
D) \( f(2) = 94 \)

Answer :

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.
Solution is to substitute 2 for x and u should get 92.

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