View Full Version : Subset values ?
noideaz_333
Feb 16, 2008, 06:09 PM
I'm new to this but I would appreciate any help on this question:
Let f: D -> R, f(x)=x/(x+1) where D is the largest subset of R for which (f) is defined.
a) Express f(x) in the form f(x) = A/(x+b) + B
I cant's find the B in this equation
b) State D... D is supposedly a restriction
THanks, I really want to learn this one
galactus
Feb 16, 2008, 06:15 PM
For part a, long divide.
------------------------
x+1|x
For part b, what may be meant by D is the domain of said function.
The domain will be all values except where you have division by 0.
What value of x results in division by 0?
noideaz_333
Feb 16, 2008, 06:21 PM
SOrry I didn't understand that
galactus
Feb 16, 2008, 06:34 PM
SOrry I didn't understand that
Didn't understand what? How to long divide? It's clear that in the denominator you have x+1. What value of x makes this equal 0? Therefore, you have division by 0 at that point and it is undefined and not in the domain.
noideaz_333
Feb 16, 2008, 06:40 PM
Are you referring to part a long dividing??
galactus
Feb 17, 2008, 05:28 AM
I am referring to both. Part a, can you long divide an algebraic expression?
For part b, it's rather straight forward. Think domain. Do you know what a domain is?
All values except for -1 are in the domain. -1 results in division by 0... a big no-no in the math world.