Which function is the inverse of f of x is equal to negative 5 x minus 4 ?

Let y = -5x - 4. To find the inverse, switch x and y: x = -5y - 4. Solve for y by adding 4 and dividing by -5, giving y = -x/5 - 4/5. Therefore, the inverse is negative one-fifth x minus four-fifths, choice D.

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