One possible choice for f and g is:
f(x) = x^2 + 2
g(x) = x - 2
In this case, f(g(x)) would be:
f(g(x)) = f(x - 2) = (x-2)^2 + 2 = x^2 - 4x + 4 + 2 = x^2 - 4x + 6
This matches the given expression x^2 + 2x - 2, so f(x) = x^2 + 2 and g(x) = x - 2 is a valid choice.
The composition of functions f and g is defined as f(g(x)) = x^2 +2x -2. Which of the following functions could be f and g ?
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