Let f(x) = (x + 1)^2 - 1, x -1 Statement-1: The set x : f(x) = f^ -1 (x) = 0, -1 Statement-2 : f is a bijection.

JEE Main 2009 Mathematics question

Let , Statement-1: The set Statement-2 : f is a bijection.

(1)Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
(2)Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
(3)Statement-1 is true, Statement-2 is falseCorrect
(4)Statement-1 is false, Statement-2 is true

Answer: (3)

f is increasing on , so exactly where the graph meets y = x: —

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-039188