CATAlgebra > Medium−12,12-\dfrac{1}{2}, \dfrac{1}{2}−21,21, and 111−1,12-1, \dfrac{1}{2}−1,21, and 11112\dfrac{1}{2}21, and 11112,1\dfrac{1}{2}, 121,1, and 32\dfrac{3}{2}23✅ Correct Option: 2Related questions:CAT 2018 Slot 1If f(x+2)=f(x)+f(x+1)f(x + 2) = f(x) + f(x + 1)f(x+2)=f(x)+f(x+1) for all positive integers xxx, and f(11)=91f(11) = 91f(11)=91, f(15)=617f(15) = 617f(15)=617, then f(10)f(10)f(10) equalsCAT 2017 Slot 2If f(ab)=f(a)f(b)f(ab) = f(a)f(b)f(ab)=f(a)f(b) for all positive integers aaa and bbb, then the largest possible value of f(1)f(1)f(1) isCAT 2024 Slot 3For any non-zero real number x, let f(x)+2f(1x)=3xf(x) + 2 f(\frac{1}{x}) = 3xf(x)+2f(x1)=3x. Then, the sum of all possible values of xxx for which f(x)=3f(x) = 3f(x)=3, is