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1. If f(x) = x^2 + x and g(x) = 2x - 1, find [f * g](x)
2.f(x) = x^2 + x and g(x) = 2x - 1, find [g * f](x)
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Explanation & Answer
Probably you mean composition of functions. Then
f(g(x)) = f(2x - 1) = (2x - 1)^2 + (2x - 1) = (2x - 1)*2x = 4x^2 - 2x.
g(f(x)) = g(x^2 + x) = 2(x^2 + x) - 1 = 2x^2 + 2x - 1.
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