Question

(1 point) Let f(x)Lx2J. We learned that the floor and the ceiling functions are NOT invertible, but we also learned about the set of preimages of any value in the Range, the set of images. Keeping that in mind, give your answer in interval notation if necessary. (a) Find f1(14)) Your answer is (b) Find f (-5]) Your answer is EEi (c) Findf-ı((x 1 4 x 8)). Your answer is (d) Find f1((xI -7sx s-5). Your answer is

Answer 1

"Greatest integer function (floor function) is defined as the function [x] = greatest integer not greater than x. or we can say n lessthanorequalto r < n + 1 (n elementof z) = > [x] = n f(x) = [x/2] = x/2 Here we draw graph of f(x) = [x/2] solution a) f^-1 (4) = {x