A function- R - R satisfies the equation f x f y - f xy - x - y - x - y - R and f 1-0- thenA- f x f -1 x - x 2-4B- fx f-1x-x2-6C- fx f-1x-x2-1D- f x f -1 x - x 2-6

The correct option is C f(x) f 1 (x)=x2 1Taking x = y =1, we get f(1)f(1) f(1)=2 ⇒ f2 (1) f(1) 2 = 0 ⇒ (f(1) 2) (f(1)+1)=0 ⇒ f(1) = 2 (as f(1) ...

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Rolle's Theorem

A function: R...

Question

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

f(x) f^-1 (x)=x²- 4

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f(x) f^-1 (x)=x²- 6

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f(x) f^-1 (x)=x²- 1

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f(x) f^-1 (x)=x² + 6

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