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 2023 Slot 2Let k be the largest integer such that the equation (x−1)2+2kx+11=0(x - 1)^2 + 2kx + 11 = 0(x−1)2+2kx+11=0 has no real roots. If y is a positive real number, then the least possible value of k/4y+9yk/4y + 9yk/4y+9y is2025 Slot 1A value of ccc for which the minimum value of f(x)=x2−4cx+8cf(x) = x^2 - 4cx + 8cf(x)=x2−4cx+8c is greater than the maximum value of g(x)=−x2+3cx−2cg(x) = -x^2 + 3cx - 2cg(x)=−x2+3cx−2c, is