CATAlgebra > Medium666161616121212888✅ Correct Option: 3Related questions:CAT 2018 Slot 2Let f(x)=f(x)=f(x)= max{5x5x5x, 52−2x252-2x^252−2x2}, where xxx is any positive real number. Then the minimum possible value of f(x)f(x)f(x) isCAT 2022 Slot 3The minimum possible value of x2−6x+103−x\frac{x^2-6x+10}{3-x}3−xx2−6x+10, for x<3x < 3x<3, isCAT 2022 Slot 2If aaa and bbb are non-negative real numbers such that a+2b=6a + 2b = 6a+2b=6, then the average of the maximum and minimum possible values of (a+b)(a + b)(a+b) is