COMEDK · Maths · 24. Functions
If \(f: R \rightarrow R\) is defined by \(f(x)=|x|\), then
- A \(f^{-1}(x)=\frac{1}{|x|}\)
- B \(f^{-1}(x)=-x\)
- C \(f^{-1}(x)=\frac{1}{x}\)
- D The function \(f^{-1}(x)\) does not exist.
Answer & Solution
Correct Answer
(D) The function \(f^{-1}(x)\) does not exist.
Step-by-step Solution
Detailed explanation
Since, \(f(x)=|x|\) is neither one-one nor onto, 30 \(f(x)\) is not invertible. \(\therefore f^{-1}(x)\) does not exist.
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