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A function f: RrarrR satisfies the equat...

A function `f: RrarrR` satisfies the equation `f(x) f(y) - f(xy) = x+ y, AAx,y in R` and `f(1) gt 0` , then

A

(a) `f(x) f^(-1)(x) = x^2 -4`

B

(b) `f(x) f^(-1) (x) = x^2 -6`

C

(c) `f(x) f^(-1) (x) = x^2 -1`

D

(d) None of these

Text Solution

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The correct Answer is:
C
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