Difficult functions 1

Let fx be defined as fx= x squared - x for all values of x. if fa = fa-2, what is the value of a?

A. 1

B. 1/2

C. 3/2

D. 6/5

E. 3

For a function problem like this you must plug in the values of a which you have been given. First plug a into the function, and you will find that a squared - a equals fa -2. To find the function of a-2, plug it into the function to get a squared-4a+4 - a + 2.

So now you have an equation to work:

a squared-a = a squared- 4a + 4 - a +2

a squared cancels, now add like terms

-a= -5a +6

add +5a to both sides

4a= 6

divide both sides by 4, then reduce

a= 3/2

3/2 is C, the answer.