Okay, here are the solutions in English. 2. Finding the inverse function of f(x) = 1−2x; Step 1: Write the function as y = f(x). y = 1−2x Step 2: Swap x and y to find the inverse relationship. x = 1−2y Step 3: Solve for y. Subtract 1 from both sides: x − 1 = −2y Divide by −2: (x−1)/(−2) = y; y = (1−x)/(2) Step 4: Express the result as f⁻¹(x). f⁻¹(x) = (1−x)/(2) The correct option is A. A. (1−x)/(2)

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March 26, 2026English

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Okay, here are the solutions in English.

2. Finding the inverse function of $f(x) = 1-2x$

Write the function as $y = f(x)$ .
$y = 1-2x$
Swap $x$ and $y$ to find the inverse relationship.
$x = 1-2y$
Solve for $y$ .
Subtract 1 from both sides:
$x - 1 = -2y$
Divide by -2:
$\frac{x-1}{-2} = y$ $y = \frac{1-x}{2}$
Express the result as $f^{-1}(x)$ .
$f^{-1}(x) = \frac{1-x}{2}$
The correct option is A.
$\boxed{\text{A. } \frac{1-x}{2}}$

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Step-by-step solution

Write the function as y=f(x)y = f(x)y=f(x).

Swap xxx and yyy to find the inverse relationship.

Solve for yyy.

Express the result as f−1(x)f^{-1}(x)f−1(x).

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More English Questions

Write the function as $y = f(x)$ .

Swap $x$ and $y$ to find the inverse relationship.

Solve for $y$ .

Express the result as $f^{-1}(x)$ .