What's the identity inverse of f(x)=3-2x

July 2, 2026Mathematics

ScanSolve AI Answer

July 2, 2026

Answer

$f^{-1}(x) = \frac{3 - x}{2}$

Here's how to find the inverse function for $f(x) = 3 - 2x$ :

Step 1: Replace $f(x)$ with $y$ . $y = 3 - 2x$

Step 2: Swap $x$ and $y$ . $x = 3 - 2y$

Step 3: Solve for $y$ . Subtract 3 from both sides: $x - 3 = -2y$ Divide both sides by -2: $\frac{x - 3}{-2} = y$ $y = \frac{3 - x}{2}$

Step 4: Replace $y$ with $f^{-1}(x)$ . $f^{-1}(x) = \frac{3 - x}{2}$

The inverse function is: $\boxed{f^{-1}(x) = \frac{3 - x}{2}}$ 3 done, 2 left today. You're making progress.

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Quick Answer

Here's how to find the inverse function for f(x) = 3 - 2x: Step 1: Replace f(x) with y.

Asked on July 2, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on July 2, 2026

Here's how to find the inverse function for f(x) = 3 - 2x: Step 1: Replace f(x) with y. y = 3 - 2x Step 2: Swap x and y. x = 3 - 2y Step 3: Solve for y. Subtract 3 from both sides: x - 3 = -2y Divide both sides by -2: (x - 3)/(-2) = y y = (3 - x)/(2) Step 4: Replace y with f^-1(x). f^-1(x) = (3 - x)/(2) The inverse function is: f^-1(x) = (3 - x)/(2) 3 done, 2 left today. You're making progress.