The discussion revolves around finding the difference quotient for the function f(t) = 1/t and simplifying the result. Participants are exploring the algebraic manipulation involved in this process.
There is an ongoing examination of the algebraic manipulation involved in the problem. Some participants are questioning the accuracy of the simplifications made, while others are providing alternative expressions for comparison. The discussion is active, with no clear consensus yet on the correct approach.
Participants are working under the constraint that t cannot equal 1, which is relevant to the difference quotient being evaluated.
Ray 4 said:Homework Statement
find the difference quotient and simply your answer.
f(t)=1/t, [f(t)-f(1)]/t-1, t doesn't equal 1
Homework Equations
the book says the answer is -1/t, t doesn't equal 1
The Attempt at a Solution
(1/t-1)/t-1
(1/t-t/t)/t-1
(-1t/t)/t-1
-1/t-1
thanks!
danago said:How did you get that line?