Math miscellaneousHard

Question

If f : R → R satisfies the equation f(x)f(y)- f(xy) = x + y ∀ x, y ∈R and f(1) > 0 then:

Options

A.f(x) f-1(x) = x2 - 4
B.f(x) f-1(x) = x2 - 1
C.f(x) f-1(x) = x2 -6
D.f(x) f-1(x) = x2 - 9

Solution

f(x) = x + 1

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