Step 1 :The given function is \(f(x)=-4 x+3\).
Step 2 :The inverse of a function is obtained by swapping the x and y (or f(x)) values. This means we replace f(x) with x and solve for y.
Step 3 :Let's replace f(x) with x in the given function, we get \(x=-4y+3\).
Step 4 :Solving this equation for y, we get the inverse function as \(y=\frac{3}{4}-\frac{x}{4}\).
Step 5 :Comparing this function with the given options, we find that none of the options match the inverse function.
Step 6 :\(\boxed{\text{None of the given options is the inverse of } f(x)=-4 x+3}\)