Is This Calculation of Average Rate of Change Correct?

[Calmwater3000]

Homework Statement

a)find the average rate of change of f from 1 to x:

f(x) - f(1)
----------- , x ≠1
x-1

given f(x) = x^2 - 2 x

Homework Equations

The Attempt at a Solution

RoC(rate of change)=
(x^2 - 2x) - [(1)^2 -2(1)]
-------------------------------
(x-1)
2. By simplifying the equation,
RoC = [(x^2 -2x+1)]/(x-1)


Can anyone check to see if this is right?

Homework Statement

Homework Equations

The Attempt at a Solution

 

[EnumaElish]

You can further simplify the fraction [(x^2 -2x+1)]/(x-1).