which of the following is the inverse of f(x) = -2x + 3?

Explanation:

Step1: Let $y = F(x)$

$y=-2x + 3$

Step2: Swap $x$ and $y$

$x=-2y + 3$

Step3: Solve for $y$

First, subtract 3 from both sides: $x - 3=-2y$. Then divide both sides by -2: $y=\frac{3 - x}{2}=-\frac{1}{2}x+\frac{3}{2}$

Answer:

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