Solution Found!
Let g(x) = [x]-Find
Chapter 1, Problem 43E(choose chapter or problem)
QUESTION:
Let \(g(x)=\lfloor x\rfloor\). Find
a) \(g^{-1}(\{0\})\).
c) \(g^{-1}(\{x \mid 0<x<1\})\).
b) \(g^{-1}(\{-1,0,1\})\).
Equation Transcription:
.
.
Text Transcription:
g(x)=⌊x⌋
g^−1({0})
g^−1({x∣0<x<1})
g^−1({−1,0,1})
Questions & Answers
QUESTION:
Let \(g(x)=\lfloor x\rfloor\). Find
a) \(g^{-1}(\{0\})\).
c) \(g^{-1}(\{x \mid 0<x<1\})\).
b) \(g^{-1}(\{-1,0,1\})\).
Equation Transcription:
.
.
Text Transcription:
g(x)=⌊x⌋
g^−1({0})
g^−1({x∣0<x<1})
g^−1({−1,0,1})
ANSWER:
Solution:
Step 1 :
In this problem we have to find the range of inverse function.
Given that
The value of the floor function at x is denoted by
.’. if and only if
where n is an integer.