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Consider that f : A rarr B (i) If f(x)...

Consider that `f : A rarr B`
(i) If f(x) is one-one `f(x_(1)) = f(x_(2)) hArr x_(1) = x_(2)` or `f'(x) ge 0` or `f'(x) le 0`.
(ii) If f(x) is onto the range of f(x) = B.
(iii) If f(x) and g(x) are inverse of each other then f(g(x)) = g(f(x)) = x.
Now consider the answer of the following questions.
Let `f(x) = (kx)/(x+1)` then the value of k such that f(x) is inverse of itself is

A

0

B

`-1`

C

1

D

2

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B
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