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Home » Second derivative: \(f''(x) = 18x - 4\) - Veritas Home Health

Second derivative: \(f''(x) = 18x - 4\) - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ f(3) = 3(3)^2 - 2(3) + 1 = 3 \times 9 - 6 + 1 = 27 - 6 + 1 = 22. \]

📌 Next, substitute \( f(3) \) into \( g(x) \).

📌 \[ g(f(3)) = g(22) = 22 - 4 = 18. \]

📌 Thus, \( g(f(3)) = \boxed{18} \).

📌 Determine the largest integer \( x \) that satisfies the inequality \( 2x^2 - 9x + 7 < 0 \).

📌 Solve the quadratic inequality \( 2x^2 - 9x + 7 < 0 \).

📌 First, find the roots of the equation \( 2x^2 - 9x + 7 = 0 \) using the quadratic formula:

📌 where \( a = 2 \), \( b = -9 \), \( c = 7 \).

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