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How to find the difference quotient and simplify the answer

by Ray 4
Tags: difference, quotient, simplify
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Ray 4
#1
Aug31-08, 05:19 PM
P: 3
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!!!
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danago
#2
Aug31-08, 05:24 PM
PF Gold
P: 1,125
Quote Quote by Ray 4 View Post
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!!!
How did you get that line?
Ray 4
#3
Aug31-08, 06:23 PM
P: 3
Quote Quote by danago View Post
How did you get that line?
i thought that's what you get when you minus t/t from 1/t

chislam
#4
Aug31-08, 06:33 PM
P: 79
How to find the difference quotient and simplify the answer

Nope, you get:

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

instead of:

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


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