CATAlgebra > Medium−12,12-\dfrac{1}{2}, \dfrac{1}{2}−21,21, and 111−1,12-1, \dfrac{1}{2}−1,21, and 11112\dfrac{1}{2}21, and 11112,1\dfrac{1}{2}, 121,1, and 32\dfrac{3}{2}23✅ Correct Option: 2Related questions:CAT 2024 Slot 2A function fff maps the set of natural numbers to whole numbers, such that f(xy)=f(x)f(y)+f(x)+f(y)f (xy) = f (x) f (y) + f (x) + f (y)f(xy)=f(x)f(y)+f(x)+f(y) for all x,yx, yx,y and f(p)=1f (p) = 1f(p)=1 for every prime number ppp. Then, the value of f(160000)f (160000)f(160000) isCAT 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 2021 Slot 2For all real values of x, the range of the function f(x) = x2+2x+42x2+4x+9\frac{x^2+2x+4}{2x^2+4x+9}2x2+4x+9x2+2x+4 is