CUET · MATHS · PYQ PAPER 2023
The value of parameter k for which the function \(f(x)=1+k x, k \neq 0\) is the inverse of itself is:
- A k = - 2
- B k = - 1
- C k = 1
- D k = 2
Answer & Solution
Correct Answer
(B) k = - 1
Step-by-step Solution
Detailed explanation
\(f(f(x)) = 1 + k(1 + kx)\) \(1 + k + k^2x = x\) \(k^2 = 1\) and \(1 + k = 0\) \(k = \pm 1\) and \(k = -1\) \(k = -1\)
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