volume_mute
Find the Inverse of f(x) = 2x
publish date: 2026/05/23 21:16:56.937579 UTC
Enter the formula for \(f^{-1}(x)\) if \(f(x) = 2x\).
Correct Answer
$\frac{x}{2}$
Explanation
\(y = 2x \Rightarrow x = \frac{y}{2} \Rightarrow f^{-1}(y) = \frac{y}{2} \Rightarrow f^{-1}(x) = \frac{x}{2}\).
Note: \(f^{-1}(x) = \frac{x}{2}\) is not the same as \(\frac{1}{f(x)} = \frac{1}{2x}\).
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012