The discussion revolves around simplifying the expression f(x+h) for the function f(x) = x^3 - 7x^2 + x + 1. Participants are exploring how to expand and simplify this expression as part of their homework task.
The discussion is ongoing, with participants sharing their interpretations and approaches to the problem. Some guidance has been offered regarding the substitution process, but there is no explicit consensus on the next steps or the overall approach to take.
Participants are considering the relationship between the simplification of f(x+h) and its application in evaluating limits, particularly in the context of derivatives. There is some uncertainty regarding the relevance of subtracting f(x) from the expanded expression.
LCKurtz said:Replace the x's with x+h and simplify.
psp101 said:o really so is it like
f(x)=(x+h)^3-7(x+h)^2+(x+h)+1
then I simplify
J-Girl said:yeah but the original equation is usually set up at(when u are evaluating the limit) (x+h)-f(x), so you have to minus the original function from the (x+h)^3-7(x+h)^2+(x+h)+1, you will just end up with the first derivative.