Let `f(x) = x + sinx`. Find the number of solutions of `f(x) = f^(-1)(x)`

Let f(x)=x+sin x. Find the number of solutions of f(x)=f^(-1)(x)

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

Let f(x)=x- sinx. Find the intervals of monotonicity.

Let f(x)=x- sinx. Find the intervals of monotonicity.

Let F:[3,infty]to[1,infty] be defined by f(x)=pi^(x(x-3) , if f^(-1)(x) is inverse of f(x) then the number of solution of the equation f(x)=f^(-1)(x) are

Let F:[3,infty]to[1,infty] be defined by f(x)=pi^(x(x-3) , if f^(-1)(x) is inverse of f(x) then the number of solution of the equation f(x)=f^(-1)(x) are

Let f(x) be defined by f(x)=x-[x],0!=x in R, where [x] is the greatest integer less than or equal to x then the number of solutions of f(x)+f((1)/(x))=1