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Answer:
Substituting (x+4) in place of x in f(x) = x^2 - 3x - 2:
g(x) = (x+4)^2 - 3(x+4) - 2
= (x+4)(x+4) - 3x - 12 - 2
= (x^2 + 8x + 16) - 3x - 14
= x^2 + 8x - 3x + 16 - 14
Simplifying further:
g(x) = x^2 + 5x + 2
Therefore, g(x) = x^2 + 5x + 2.
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