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Given the function [tex]f(x) = 2x^3 - 18x^2 + 36x + 12[/tex], find [tex]f(2)[/tex].

A. [tex]f(2) = 20[/tex]

B. [tex]f(2) = 24[/tex]

C. [tex]f(2) = 28[/tex]

D. [tex]f(2) = 32[/tex]

Answer :

Final answer:

To find f(2), substitute x = 2 into the given function f(x) = 2(3) - 18x^2 + 36x + 12. The result is f(2) = 20.


Explanation:

To find f(2), we need to substitute x = 2 into the given function f(x) = 23 - 18x2 + 36x + 12.

So, f(2) = 2(2)^3 - 18(2)^2 + 36(2) + 12.

Simplifying this, we get f(2) = 20 - 72 + 72 + 12 = 20.

Therefore, the correct answer is f(2) = 20.


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