The g ^-1({0}) for the function g(x)= ⌊x⌋ is ___________(a) {x

1.	The g ^-1({0}) for the function g(x)= ⌊x⌋ is ___________(a) {x \| 0 ≤ x < 1}(b) {x \| 0 < x ≤ 1}(c) {x \| 0 < x < 1}(d) {x \| 0 ≤ x ≤ 1}This question was posed to me in homework.This is a very interesting question from Functions in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Correct answer is (d) {X \| 0 ≤ x ≤ 1} The best explanation: g({0}) for the function g(x) is {x \| 0 ≤ x ≤ 1}. Put g(x) = y and FIND the value of x in TERMS of y such that ⌊x⌋ = y.

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