JEE Main 202622 Jan, Evening shiftMathematicsEasySequence and Series179× since 2002Let fff and ggg be functions satisfying f(x+y)=f(x)f(y)f(x+y)=f(x)f(y)f(x+y)=f(x)f(y), f(1)=7f(1)=7f(1)=7 and g(x+y)=g(xy)g(x+y)=g(xy)g(x+y)=g(xy), g(1)=1g(1)=1g(1)=1, for all x,y∈Nx, y\in\mathbb{N}x,y∈N. If ∑x=1n(f(x)g(x))=19607\sum_{x=1}^{n}\left(\frac{f(x)}{g(x)}\right)=19607∑x=1n(g(x)f(x))=19607, then nnn is equal to :AOption A. 5BOption B. 7COption C. 4DOption D. 6CheckSkip · show solution
