Consider the function f(x)=12x+2.f(x)=12x+2.f(x)=12x+2. Find the value of 2[f(5)+f(4)+f(3)+f(2)+f(1)+f(0)+f(1)+f(2)+f(3)+f(4)+f(5)+f(6)].2[f(5)+f(4)+f(3)+f(2)+f(1)+f(0)+f(1)+f(2)+f(3)+f(4)+f(5)+f(6)].2[f(5)+f(4)+f(3)+f(2)+f(1)+f(0)+f(1)+f(2)+f(3)+f(4)+f(5)+f(6)].


Answer:

666

Step by Step Explanation:
  1. Given, f(x)=12x+2f(x)=12x+2f(x)=12x+2
    Here, f(5)f(5)f(5) can be written asf(16).f(16).f(16).
    Similarly, f(4)=f(15),f(3)=f(14),        f(0)=f(11)f(4)=f(15),f(3)=f(14),        f(0)=f(11)f(4)=f(15),f(3)=f(14),        f(0)=f(11)
  2. We have
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  3. Now,
    [Math Processing Error]
  4. Hence, the value of the given expression is 6.6.

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