How to find the difference quotient and simplify the answer

[Ray 4]

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]

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!

How did you get that line?

 

[Ray 4]

How did you get that line?

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

 

[chislam]

Nope, you get:

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

instead of:

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