Step 1: Finding the inverse function**
Given $f(x) = \sqrt{5-2x}$, we want to find $f^{-1}(x)$ by swapping $f(x)$ with $x$ and $x$ with $y$:
$x = \sqrt{5-2y}$
Solving for $y$:
$x^2 = 5-2y$
$2y = 5 - x^2$
$y = \frac{5 - x^2}{2}$
Therefore, $f^{-1}(x) = \frac{5 -
Show more…