SOLUTION: The problem is evaluating a difference quotient f(x+h)-f(x) over h for f(x) 3x^2-5x+17. I need help with the steps for cancelling all common factors and reducing to simplest ter

Algebra ->  Functions -> SOLUTION: The problem is evaluating a difference quotient f(x+h)-f(x) over h for f(x) 3x^2-5x+17. I need help with the steps for cancelling all common factors and reducing to simplest ter      Log On


   

Question 1051156: The problem is evaluating a difference quotient f(x+h)-f(x) over h for f(x) 3x^2-5x+17.
I need help with the steps for cancelling all common factors and reducing to simplest terms.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluating for what value of x?

f%28x%29=3x%5E2-5x%2B17, given function.


Difference Quotient in general, %28f%28x%2Bh%29-f%28x%29%29%2Fh, and examine this quotient as h tends toward 0.


YOUR difference quotient should be found to be 6x-5.

I left-out the steps.
You need to substitute the needed expression, f%28x%2Bh%29=3%28x%2Bh%29%5E2-5%28x%2Bh%29%2B17, but simplify it before putting it into its role in the difference quotient formula.