CATAlgebra > Hardx≤rx \le rx≤rx≥rx \ge rx≥rx≠rx \ne rx=rx>rx > rx>r✅ Correct Option: 1Related questions:CAT 2019 Slot 1The number of the real roots of the equation 2cos(x(x+1))=2x+2−x2\cos (x(x + 1)) = 2^x + 2^{-x}2cos(x(x+1))=2x+2−x isCAT 2017 Slot 2Let f(x)=x2f(x) = x^2f(x)=x2 and g(x)=2xg(x) = 2^xg(x)=2x, for all real xxx. Then the value of f(f(g(x))+g(f(x)))f(f(g(x)) + g(f(x)))f(f(g(x))+g(f(x))) at x=1x = 1x=1 isCAT 2024 Slot 1Consider two sets A={2,3,5,7,11,13}A = \{2, 3, 5, 7, 11, 13\}A={2,3,5,7,11,13} and B={1,8,27}B = \{1, 8, 27\}B={1,8,27}. Let fff be a function from AAA to BBB such that for every element bbb in BBB, there is at least one element aaa in AAA such that f(a)=bf(a) = bf(a)=b. Then, the total number of such functions fff is