Please help simplify. This is finding the diference quotient.
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f(t) = 1/t
f(1) = 1/1 = 1
f(t) - f(1) = (1/t) - 1 = (1 - t)/t
{f(t) - f(1)} / (t - 1) = {(1 - t)/t} / (t - 1)
= {(1 - t) / t(t - 1)} = - 1/t
f(1) = 1/1 = 1
f(t) - f(1) = (1/t) - 1 = (1 - t)/t
{f(t) - f(1)} / (t - 1) = {(1 - t)/t} / (t - 1)
= {(1 - t) / t(t - 1)} = - 1/t