Math
posted by Anonymous on .
For the given functions, write the rational function,
r(x) = [f(xh)f(x)]/h and simplify:
a. F(x) = 2x+3
b. F(x) = 1/(x+1)
c. F(x) = x^2

Just need to know that the rational function is and maybe I can do the questions. Thanks.

the rational function is r(x)=[f(xh)f(x)]/h (also known as the limit definition)
so if your function is F(x)=2x+3 plug it into the rational function
[2(xh)+3(2x+3)]/h
=[2x+2hx32x3]/h >then simplify
=2h/h>cancel the h's
=2
then do the same thing for the other problems 
ah sorry... I was looking at your problem and thinking of something else. Here is the correct solution for part a
so therefore...
SO if F(x)=2x+3 plug it into your rational function r(x)=[f(xh)f(x)]/h
=[2(xh)+3(2x+3)]/h
=[2x2h+32x3]/h >then simplify (cancel the 2x's and the 3's)
=2h/h>cancel the h's
=2
Sorry about that screwup. Hope you understand! 
recommended steps for factoring a polynomial