If \( f(x)=5 x+8 \), then \( f^{-1}(x)=\frac{x-5}{8} \) \( f^{-1}(x)=\frac{x+8}{5} \) \( f^{-1}(x)=\frac{x+5}{8} \) \( f^{-1}(x)=\frac{x-8}{5} \)

Let's explore the concept of finding the inverse of a linear function! The function \( f(x) = 5x + 8 \) is a straight line, and the inverse can be found by swapping \( x \) and \( y \) and then solving for \( y \). Doing so involves rearranging the equation, leading us to \( y = \frac{x - 8}{5} \). Thus, the correct inverse function is \( f^{-1}(x) = \frac{x - 8}{5} \). And here's a fun fact! The concept of inverses extends beyond just linear functions. You can find the inverse of quadratic functions, exponential functions, and more! Each function will have its own unique process to follow, so it’s super exciting to dive deeper into the world of mathematics and discover how different functions can behave!