How to find the difference quotient and simplify the answer

1. Ray 4

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!!!

2. danago

1,125
How did you get that line?

3. Ray 4

3
i thought that's what you get when you minus t/t from 1/t

4. chislam

79
Nope, you get:

$$\frac{1-t}{t}$$

instead of:

$$\frac{-t}{t}$$

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