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Home » Military Calisthenics: The Disciplined Path to Unstoppable Strength—Watch Here! - Crankk.io

Military Calisthenics: The Disciplined Path to Unstoppable Strength—Watch Here! - Crankk.io

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 m(2) = 2(2)^3 - 9(2)^2 + 12(2) - 4 = 16 - 36 + 24 - 4 = 0

📌 So, \( x = 2 \) is a root. Use synthetic division to divide \( m(x) \) by \( x - 2 \):

📌 & 2 & -9 & 12 & -4 \

📌 & & 4 & -10 & 4 \

📌 & 2 & -5 & 2 & 0 \

📌 The quotient is \( 2x^2 - 5x + 2 \). Solve \( 2x^2 - 5x + 2 = 0 \) using the quadratic formula:

📌 x = rac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 2 \cdot 2}}{2 \cdot 2} = rac{5 \pm \sqrt{25 - 16}}{4} = rac{5 \pm \sqrt{9}}{4} = rac{5 \pm 3}{

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Find the inverse of the function \( f(x) = rac{2x + 3}{x - 1} \).
Set \( y = rac{2x + 3}{x - 1} \).
Swap \( x \) and \( y \): \( x = rac{2y + 3}{y - 1} \).
Cross-multiply: \( x(y - 1) = 2y + 3 \).
Expand: \( xy - x = 2y + 3 \).
Rearrange: \( xy - 2y = x + 3 \).
Factor: \( y(x - 2) = x + 3 \).
Solve for \( y \): \( y = rac{x + 3}{x - 2} \).
#### Inverse: \( f^{-1}(x) = rac{x + 3}{x - 2} \)
Evaluate the limit \( \lim_{x o 2} rac{x^2 - 4}{x - 2} \).

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