SOLUTION: Given that h≠0 and f is the function defined by f(x)=8x2+2x−2 simplify [f(x+h)−f(x)]/h [f(x+h)−f(x)h]/h=

Algebra ->  Test -> SOLUTION: Given that h≠0 and f is the function defined by f(x)=8x2+2x−2 simplify [f(x+h)−f(x)]/h [f(x+h)−f(x)h]/h=       Log On


   

Question 1170510: Given that h≠0 and f is the function defined by
f(x)=8x2+2x−2
simplify
[f(x+h)−f(x)]/h

[f(x+h)−f(x)h]/h=

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This becomes 8(x^2+2xh+h^2)+2(x+h)-2 - [8x^2-+2x-2] all divided by h. Looking at the numerator,
this is 8x^2+16xh+8h^2+2x+2h-2-8x^2-2x+2 divided by h
that leaves 16xh+2h all divided by h
=16x+2