Math, asked by rbhargav237, 4 months ago

if f(x) = x-1/x+1, x ≠ ±1 then verify fof^-1(x) = x



please kindly answer step by step​

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Answered by pushkardigraskar2005
2

Answer:

Here's your answer

Step-by-step explanation:

f(x) = y = x - 1/x = 1 - 1/x

=>1/x = 1-y

=>x = 1/1 - y

=>f^-1 (x) = 1/1 - x

∴ fo f−1 (x) = 1 / 1 - x-1/1/1 - x

=1 - (1 - x)/1 - x / 1/1 - x

=1 - (1 - x)

=x

Hence verified.

Hope you understand.

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