Question

For the function f(x)=5x2−5x, evaluate and simplify.

Answer 1

9514 1404 393

Answer:

10x -5 +5h

Explanation:

Use the function definition with the given arguments.

`(f(x+h)-f(x))/(h)=((5(x+h)^2-5(x+h))-(5x^2-5x))/(h)\\\\=((5(x^2+2hx+h^2)-5(x+h))-(5x^2-5x))/(h)\\\\=(5x^2+10hx+5h^2-5x-5h-5x^2+5x)/(h)=(10hx-5h+5h^2)/(h)\\\\=\boxed{10x-5+5h}`