Question

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



please kindly answer step by step​

Answer 1

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.