Find the inverse of the given function. $$ f(x)=4 x+1 $$ $$ f^{-1}(x)=\frac{x+[?]}{} $$

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1. Rewrite the function with $$ y $$ replacing $$ f(x) $$:
   $$
   y = 4x + 1
   $$

2. Solve for $$ x $$ in terms of $$ y $$:
   $$
   y - 1 = 4x \quad \text{(Subtract 1 from both sides)}
   $$
   $$
   x = \frac{y-1}{4} \quad \text{(Divide both sides by 4)}
   $$

3. Swap $$ x $$ and $$ y $$ to obtain the inverse function:
   $$
   y = \frac{x-1}{4}
   $$
   Thus, the inverse function is:
   $$
   f^{-1}(x) = \frac{x-1}{4}
   $$
The inverse function is $$ f^{-1}(x) = \frac{x-1}{4} $$.

Find the inverse of the given function.

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