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Answer:
g(x+2) means that x + 2 is going into g(x).
Step-by-step explanation:
Given:
g(x) = x^2 - x
g(x + 2)
g(x+2) means that x + 2 is going into g(x)
x = x + 2
Substitute:
g(x + 2) = (x + 2)^2 - (x + 2)
Solve:
g(x + 2) = (x + 2)^2 - (x + 2)
= x^2 + 4x + 4 - (x + 2)
= x^2 + 4x + 4 - x - 2
Simplify:
g(x + 2) = x^2 + 3x + 2