f(y + g) = 1/(y+g)
f(y) = 1/y
f(y+g) - f(y) = (1/(y+g)) - (1/y)
f(y+g) - f(y) = (y - (y + g))/ ((y+g)(y))
f(y+g) - f(y) = (-g)/ (y^2 + yg)
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f(y + g) = 1/(y+g)
f(y) = 1/y
f(y+g) - f(y) = (1/(y+g)) - (1/y)
f(y+g) - f(y) = (y - (y + g))/ ((y+g)(y))
f(y+g) - f(y) = (-g)/ (y^2 + yg)