CATAlgebra > Medium22213\frac{1}{3}3166623\frac{2}{3}32✅ Correct Option: 1Related 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 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, isCAT 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 is