Home
Class 12
MATHS
Let f: R rarr R be a periodic function s...

Let `f: R rarr R` be a periodic function such that `f(T + x) = 1 + (2-3f(x) + 3(f(x))^2- (f(x))^3)^(1/3)` where T is a fixed positive number, then period of f(x) is (i) T (ii) 2T (iii)3T (iv) none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f: R to R be a periodic function such that f(T+x)=1" " where T is a +[1-3f(x)+3(f(x))^(2) -(f(x))^(3)]^(1/3) fixed positive number, then period of f(x) is

Let f(x) be a real valued periodic function with domain R such that f(x+p)=1+[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) hold good for all x in R and some positive constant p, then the periodic of f(x) is

Let f(x) be a real valued periodic function with domain R such that f(x+p)=1+[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) hold good for all x in R and some positive constant p, then the periodic of f(x) is

Let f(x) be a real valued periodic function with domain R such that f(x+p)=1+[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) hold good for all x in R and some positive constant p, then the periodic of f(x) is

Let f(x) be a real valued periodic function with domain R such that f(x+p)=1+[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) hold good for all x in R and some positive constant p, then the periodic of f(x) is

Let f(x+p)=1+{2-3f(x)+3(f(x))^2-(f(x)^3}^(1//3), for all x in R where p>0 , then prove f(x) is periodic.

Let f:R rarr R be a differentiabe function satisfying f(x)=x^(2)+3int_(0)^(x^(1/3))e^(-t^3)t^(2)*f(x-t^(3))dt Then find f(x) is

Let f(x) is periodic function such that int _(0) ^(x) (f (t))^(3) dt = (1)/(x ^(2))(int _(0) ^(x) (f(t)dt ) ) ^(3) AA x in R- {0} Find the function f (x) if (1) =1.

Let f_(1):R rarr R and f_(2):C rarr C are two functions such that f_(1)(x)=x^(3) and f_(2)=x^(3) .Prove that f_(1) and f_(2) are not same.