- #1
SMA_01
- 218
- 0
Characteristic function and preimage?
Let S be a nonempty subset of ℝ.
Define χs= { 1 if x is in S and 0 if x is not in S
Determine χs-1(Q) [where Q=set of all rational numbers]
and χs-1((0,∞))
We haven't really dealt much with this function, and I really don't know how to go about doing this. I'm guessing for Q it will be all x in S such that f(x)=Q? Is that right?
Any help is appreciated,
Thanks.
Homework Statement
Let S be a nonempty subset of ℝ.
Define χs= { 1 if x is in S and 0 if x is not in S
Determine χs-1(Q) [where Q=set of all rational numbers]
and χs-1((0,∞))
We haven't really dealt much with this function, and I really don't know how to go about doing this. I'm guessing for Q it will be all x in S such that f(x)=Q? Is that right?
Any help is appreciated,
Thanks.