SOLUTION: Find and simplify the difference quotient for the following function. ​f(x)=−5x^2+2x+8

Algebra ->  Functions -> SOLUTION: Find and simplify the difference quotient for the following function. ​f(x)=−5x^2+2x+8      Log On


   

Question 1100069: Find and simplify the difference quotient for the following function.
​f(x)=−5x^2+2x+8
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
YOU can do this.

f%28x%29=-5x%5E2%2B2x%2B8

Some variable, h;
f%28x%2Bh%29=-5%28x%2Bh%29%5E2%2B2%28x%2Bh%29%2B8

Difference Quotient: %28f%28x%2Bh%29-f%28x%29%29%2Fh

Substituting the expressions: %28-5%28x%2Bh%29%5E2%2B2%28x%2Bh%29%2B8-%28-5x%5E2%2B2x%2B8%29%29%2Fh

SIMPLIFY THE EXPRESSION.