CATAlgebra > Medium−16-16−16−15-15−15−12-12−12−20-20−20✅ Correct Option: 1Related questions:CAT 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 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) is2025 Slot 2Let f(x)=x(2x−1)f(x) = \dfrac{x}{(2x-1)}f(x)=(2x−1)x and g(x)=x(x−1)g(x) = \dfrac{x}{(x-1)}g(x)=(x−1)x. Then, the domain of the function h(x)=f(g(x))+g(f(x))h(x) = f(g(x)) + g(f(x))h(x)=f(g(x))+g(f(x)) is all real numbers except