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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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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