1. The first problem is about the "Teskari funksiya" which means "Inverse function". 2. Problem: Find the inverse of a given function $f(x)$. 3. To find the inverse function $f^{-1}(x)$, we use the following steps: - Replace $f(x)$ with $y$. - Swap $x$ and $y$ in the equation. - Solve the new equation for $y$. - The resulting expression is $f^{-1}(x)$. 4. Important rule: The inverse function reverses the effect of the original function, so $f(f^{-1}(x)) = x$ and $f^{-1}(f(x)) = x$. 5. Example: If $f(x) = 2x + 3$, then - Step 1: $y = 2x + 3$ - Step 2: Swap $x$ and $y$: $x = 2y + 3$ - Step 3: Solve for $y$: $$x = 2y + 3$$ $$x - 3 = 2y$$ $$y = \frac{x - 3}{2}$$ 6. So, the inverse function is: $$f^{-1}(x) = \frac{x - 3}{2}$$ This completes the solution for the first problem.