CATAlgebra > Hard[3,10]∪[5,26][3,\sqrt{10}]\cup[5,\sqrt{26}][3,10]∪[5,26][3,10]∪[4,17]∪{6}[3,\sqrt{10}]\cup[4,\sqrt{17}]\cup\{6\}[3,10]∪[4,17]∪{6}(3,10)∪[5,26)∪{6}(3,\sqrt{10})\cup[5,\sqrt{26})\cup\{6\}(3,10)∪[5,26)∪{6}(4,18)∪[5,27)∪{6}(4,\sqrt{18})\cup[5,\sqrt{27})\cup\{6\}(4,18)∪[5,27)∪{6}✅ Correct Option: 3Related questions:CAT 2019 Slot 1For any positive integer nnn, let f(n)=n(n+1)f(n)=n(n+1)f(n)=n(n+1) if nnn is even, and f(n)=n+3f(n)=n+3f(n)=n+3 if nnn is odd. If mmm is a positive integer such that 8f(m+1)−f(m)=28 f(m+1)-f(m)=28f(m+1)−f(m)=2, then mmm equalsCAT 2017 Slot 1If f(x)=5x+23x−5f(x) = \frac{5x + 2}{3x - 5}f(x)=3x−55x+2 and g(x)=x2−2x−1g(x) = x^2 - 2x - 1g(x)=x2−2x−1, then the value of g(f(f(3)))g(f(f(3)))g(f(f(3))) isCAT 2023 Slot 3Suppose f(x,y)f(x, y)f(x,y) is a real valued function such that f(3x+2y,2x−5y)=19xf(3x + 2y, 2x- 5y) = 19xf(3x+2y,2x−5y)=19x, for all real numbers xxx and yyy. The value of xxx for which f(x,2x)=27f(x, 2x) = 27f(x,2x)=27, is