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Home » Acceleration is \( \frac16.67 - 010 = 1.667 \) m/s². - Appfinity Technologies

Acceleration is \( \frac16.67 - 010 = 1.667 \) m/s². - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 This is smooth and differentiable. Letâs study fixed points: \( f(x) = x \) implies:

📌 rac{x^3 - 3x}{x^2 + 1} = x \Rightarrow x^3 - 3x = x(x^2 + 1) = x^3 + x \Rightarrow -4x = 0 \Rightarrow x = 0

📌 So, only one fixed point at \( x = 0 \).

📌 Now, solve \( f(f(x)) = x \). This includes solutions to \( f(x) = x \) (fixed points) and solutions where \( f(f(x)) = x \) but \( f(x)

📌 e x \) â i.e., 2-cycles.

📌 Letâs check the range and behavior. As \( x o \pm\infty \), \( f(x) \sim x^3 / x^2 = x o \mp\infty \), so \( f(x) \) is odd asymptotically.

📌 Now, compute \( f(f(x)) - x = 0 \). This is a rational equation; clear denominators:

📌 Let \( y = f(x) \), so \( f(y) = x \). Then:

🔥 Popular Posts

\frac{12 + 15 + x + 18 + 21}{5} = 16.
Simplify the sum of known values:
+ 15 + 18 + 21 = 66,
\frac{66 + x}{5} = 16.
Multiply both sides by 5:
66
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