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Functions question

2009 · Shift 0 · Q29
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  5. /2009 · Shift 0 · Q29

Functions question

2009 · Shift 0 · Q29

JEE MainMathematicsFunctionsMCQ+4 / −1
Let f(x)=(x+1)2−1,x≥−1f\left( x \right) = {\left( {x + 1} \right)^2} - 1,x \ge - 1f(x)=(x+1)2−1,x≥−1 Statement - 1 : The set {x:f(x)=f−1(x)}={0,−1}\left\{ {x:f\left( x \right) = {f^{ - 1}}\left( x \right)} \right\} = \left\{ {0, - 1} \right\}{x:f(x)=f−1(x)}={0,−1}. Statement - 2 : fff is a bijection.
  1. A
    Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1
  2. B
    Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
  3. C
    Statement - 1 is true, Statement - 2 is false
  4. D
    Statement - 1 is false, Statement - 2 is true
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