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Functions question

2018 · 15 Apr · Shift 2 · Q28
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  5. /2018 · 15 Apr · Shift 2 · Q28

Functions question

2018 · 15 Apr · Shift 2 · Q28

JEE MainMathematicsFunctionsMCQ+4 / −1
Let f : A →\to→ B be a function defined as f(x) = x−1x−2,{{x - 1} \over {x - 2}},x−2x−1​, Where A = R −-−{2} and B = R −-− {1}. Then f is :
  1. A
    invertible and f−1(y)=3y−1y−1{f^{ - 1}}(y) = {{3y - 1} \over {y - 1}}f−1(y)=y−13y−1​
  2. B
    invertible and f−1(y)=2y−1y−1{f^{ - 1}}\left( y \right) = {{2y - 1} \over {y - 1}}f−1(y)=y−12y−1​
  3. C
    invertible and f−1(y)=2y+1y−1{f^{ - 1}}\left( y \right) = {{2y + 1} \over {y - 1}}f−1(y)=y−12y+1​
  4. D
    not invertible
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