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Math  /  Algebra

QuestionIf (f∘g)(x)=−4x⋅(x+1)(f \circ g)(x)=-4 x \cdot(x+1), then find the functions f(xf(x and g(x)g(x). A) f(x)=x2−1,g(x)=2x−1f(x)=x^{2}-1, g(x)=2 x-1 B) f(x)=1−x2,g(x)=2x+1f(x)=1-x^{2}, g(x)=2 x+1 C) f(x)=1−x,g(x)=2x2+1f(x)=1-x, g(x)=2 x^{2}+1 D) f(x)=2x+1,g(x)=x2−1f(x)=2 x+1, g(x)=x^{2}-1

Studdy Solution
Since Option B matches the given expression, we have found the correct functions:
f(x)=1−x2 f(x) = 1 - x^2 g(x)=2x+1 g(x) = 2x + 1
The correct pair of functions is:
B:f(x)=1−x2,g(x)=2x+1 \boxed{B: f(x) = 1 - x^2, g(x) = 2x + 1}

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