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

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

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, $f (x) = 2 x - 1$ and $g (x) = x^{2}$ , so we multiply these together to get $(f \cdot g) (x) = (2 x - 1) \cdot x^{2}$ .

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

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

Find the formula for (f⋅g)(x).f(x)=2x−1 and g(x)=x2(f⋅g)(x)=[?]x+◻x2

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