0 votes
in Mathematics by (57.0k points)

Let f : R →R be a function defined by f(x) = [x]2 + [x + 1] – 3 {where [.] denontes greatest integer function}, then f(x) is 

(A) many-one 

(B) onto 

(C) one-one 

(D) into

1 Answer

+1 vote
by (68.1k points)
selected by
Best answer

Correct Option:- (A)  (D)

Explanation :-

f(x) = [x]2 + [x] – 2 

Let [x] = t 

f(t) = t2 + t – 2 = (t + 2) (t – 1)

so f(x) is may - one into

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.