Let `f(x)=1-x-x^3`.Find all real values of x satisfying the inequality, `1-f(x)-f^3(x)>f(1-5x)`

Let f(x)=1-x-x^3 .Values of x not satisfying the inequality, 1-f(x)-f^3(x)>f(1-5x)

If f is symmetrical about x = 1, find the real values of x satisfying the equation f(x)=f((x+1)/(x+2)) .

If f is symmetrical about x = 1, find the real values of x satisfying the equation f(x)=f((x+1)/(x+2)) .

Let f(x)=1-x-4x^(3),f:R rarr R then find the number of integrality satisfying the inequality 4f(x)^(3)+f(1-2x)+f(x)<1

If a function f satisfies f{f (x)}=x+1 for all real values of x and if f(0)=1/2 then f(1) is equal to a) 1/2 b)1 c) 3/2 d)2

If a function f satisfies f (f(x))=x+1 for all real values of x and if f(0) = 1/2 then f(1) is equal to

let f(x)=x^(2)-3x+4 the values of x which satisfies f(1)+f(x)=f(1)*f(x) is

A function f is such that f(x+1)=f(x)+f(1)+1 for all real values of x . Find f(0) If it is given that f(1)=1, find f(2),f(3) and f(-1) .