Let f : A ® B be a function defined as f (x) = 1 2 – – x x , where A = R – {2} and B = R – {1}. Then f is

Question:

Let $f: \mathrm{A} \rightarrow \mathrm{B}$ be a function defined as $f(x)=\frac{x-1}{x-2}$, where $A=R-\{2\}$ and $B=R-\{1\} .$ Then $f$ is

  1. invertible and $f^{-1}(y)=\frac{2 y+1}{y-1}$

  2. invertible and $f^{-1}(y)=\frac{3 y-1}{y-1}$

  3. no invertible

  4. invertible and $f^{-1}(y)=\frac{2 y-1}{y-1}$


Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year Online April 15, 2018

Solution:

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