Given the function f(x)=x-4 evaluate the addition of functions f(2), f(2)^2,..f(2)^6 .

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We'll have to calculate f(2) + [f(2)]^2 + ... + [f(2)]^6

We'll replace f(2) by it's value => f(2) = 2 - 4 = -2

f(2) + [f(2)]^2 + ... + [f(2)]^6 = -2 + (-2)^2 + (-2)^3 + (-2)^4 + (-2)^5 + (-2)^6

f(2) + [f(2)]^2 + ... + [f(2)]^6 = -2 + 4 - 8 + 16 - 32 + 64

f(2) + [f(2)]^2 + ... + [f(2)]^6 = 2 + 8 + 32

f(2) + [f(2)]^2 + ... + [f(2)]^6 = 42

**The requested sum of the functions is f(2) + [f(2)]^2 + ... + [f(2)]^6 = 42.**

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