Question

Given the following functions f(x)

Answer 1

Answer: x

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Work Shown:

`g(x) = ((x-1)^2)/(3)\\\\g(f(x)) = ((f(x)-1)^2)/(3)\\\\g(f(x)) = ((1+√(3x)-1)^2)/(3)\\\\g(f(x)) = ((√(3x))^2)/(3)\\\\g(f(x)) = (3x)/(3)\\\\g(f(x)) = x\\\\`

The idea is to start with g(x) and then replace every x with f(x). From there you plug in f(x) = 1+sqrt(3x) and simplify.