16. Find the inverse of the given function: y=5x-10

To find the inverse of the given function \( y = 5x - 10 \), we need to follow these steps:<br /><br />1. Replace \( y \) with \( x \) and \( x \) with \( y \):<br /> \[<br /> x = 5y - 10<br /> \]<br /><br />2. Solve for \( y \):<br /> \[<br /> x + 10 = 5y<br /> \]<br /> \[<br /> y = \frac{x + 10}{5}<br /> \]<br /><br />3. Replace \( y \) with \( f^{-1}(x) \):<br /> \[<br /> f^{-1}(x) = \frac{x + 10}{5}<br /> \]<br /><br />So, the inverse function is:<br />\[<br />f^{-1}(x) = \frac{x + 10}{5}<br />\]