How to find the difference quotient and simplify the answer

  1. 1. The problem statement, all variables and given/known data

    find the difference quotient and simply your answer.

    f(t)=1/t, [f(t)-f(1)]/t-1, t doesn't equal 1


    2. Relevant equations
    the book says the answer is -1/t, t doesn't equal 1


    3. The attempt at a solution

    (1/t-1)/t-1

    (1/t-t/t)/t-1

    (-1t/t)/t-1

    -1/t-1


    thanks!!!
     
  2. jcsd
  3. danago

    danago 1,125
    Gold Member

    How did you get that line?
     
  4. i thought that's what you get when you minus t/t from 1/t
     
  5. Nope, you get:

    [tex]\frac{1-t}{t}[/tex]

    instead of:

    [tex]\frac{-t}{t}[/tex]
     
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