Find the formula for $(f \cdot g)(x)$.
\[
f(x)=2 x-1 \text { and } g(x)=x^{2}
\]
\[
(f \cdot g)(x)=[?] x+\square x^{2}
\]

Answer

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Answer

Final Answer: $(f \cdot g)(x) = \boxed{2x^3 - x^2}$

Steps

Step 1 ：The formula for $(f \cdot g)(x)$, also known as the product of functions f and g, is given by $f(x) \cdot g(x)$. This means that we multiply $f(x)$ by $g(x)$. In this case, $f(x) = 2x - 1$ and $g(x) = x^2$, so we multiply these together to get $(f \cdot g)(x) = (2x - 1) \cdot x^2$.

Step 2 ：Expand the expression $(f \cdot g)(x) = (2x - 1) \cdot x^2$ to get $(f \cdot g)(x) = 2x^3 - x^2$.

Step 3 ：Final Answer: $(f \cdot g)(x) = \boxed{2x^3 - x^2}$

Find the formula for $(f \cdot g)(x)$.\[f(x)=2 x-1 \text { and } g(x)=x^{2}\]\[(f \cdot g)(x)=[?] x+\square x^{2}\]

Answer

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Find the formula for $(f \cdot g)(x)$.
\[
f(x)=2 x-1 \text { and } g(x)=x^{2}
\]
\[
(f \cdot g)(x)=[?] x+\square x^{2}
\]