Problem

$f(x)=(2 x+1)(x+4)$

Answer

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Answer

Final Answer: \(f(x) = \boxed{2x^2 + 9x + 4}\)

Steps

Step 1 :Given the function \(f(x)=(2 x+1)(x+4)\).

Step 2 :This is a multiplication of two binomials. To solve this, we can use the distributive property to multiply each term in the first binomial with each term in the second binomial.

Step 3 :Applying the distributive property, we get \(f(x) = 2x^2 + 9x + 4\).

Step 4 :Final Answer: \(f(x) = \boxed{2x^2 + 9x + 4}\)

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