The inverse of a function is given by \(f^{-1} : x \to \frac{x + 1}{4}\).

The inverse of a function is given by \(f^{-1} : x \to \frac{x + 1}{4}\).

Answer Details

To find the original function from its inverse, we can simply swap the roles of x and y in the equation for the inverse and then solve for y. Starting with the given inverse function: \[f^{-1} : x \to \frac{x + 1}{4}\] Swapping x and y: \[x = \frac{y + 1}{4}\] Solving for y: \[y+1 = 4x\] \[y = 4x - 1\] Therefore, the original function is: \[f : x \to 4x - 1\] So the correct answer is.