SOLUTION: F(x)= x(squared)- 3x The difference quotient of a function f at x=a is defined to be the ratio [f(a + h) - f(a)]/h. find the difference quotient of each function at a=2.

Algebra ->  College  -> Linear Algebra -> SOLUTION: F(x)= x(squared)- 3x The difference quotient of a function f at x=a is defined to be the ratio [f(a + h) - f(a)]/h. find the difference quotient of each function at a=2.      Log On


   

Question 146142: F(x)= x(squared)- 3x
The difference quotient of a function f at x=a is defined to be the ratio [f(a + h) - f(a)]/h. find the difference quotient of each function at a=2.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2-3x, so:

f%28a%29=a%5E2-3a, and if a=2, then f%282%29=4-6=-2

and

f%28a%2Bh%29=%28a%2Bh%29%5E2-3%28a%2Bh%29=a%5E2%2B2ah%2Bh%5E2-3a-3h, so f%282%2Bh%29=4%2B4h%2Bh%5E2-6-3h=-2%2Bh%2Bh%5E2

So, just simplify: %28%28-2%2Bh%2Bh%5E2%29-%28-2%29%29%2Fh