if `a,b` are two positive numbers such that ` f(a+x)=b+[b^3+1-3b^2f(x)+3b{f(x)}^2-{f(x)}^3]^(1/3)` for all real `x`, then prove that `f(x)` is peroidic and find its peroid?

if a,b are two positive numbers such that f(a+x)=b+[b^(3)+1-3b^(2)f(x)+3b{f(x)}^(2)-{f(x)}^(3)]^((1)/(3)) for all real x, then prove that f(x) is peroidic and find its peroid?

if a,b are two positive numbers such that f(a+x)=b+[b^3+1-3b^2f(x)+3b{f(x)}^2-{f(x)}^3]^(1/3) for all real x , then prove that f(x) is periodic and find its period?

If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2f(x)+3b{f(x)}^2-{f(x)}^3]^(1/3) for all real x , then prove that f(x) is periodic and find its period.

If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2f(x)+3b{f(x)}^2-{f(x)}^3]^(1/3) for all real x , then prove that f(x) is periodic and find its period.

If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2f(x)+3b{f(x)}^2-{f(x)}^3]^(1/3) for all real x , then prove that f(x) is periodic and find its period.

If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2f(x)+3b{f(x)}^2-{f(x)}^3]^(1/3) for all real x , then prove that f(x) is periodic and find its period.

If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2f(x)+3b{f(x)}^2-{f(x)}^3]^(1/3) for all real x , then prove that f(x) is periodic and find its period.

If a,b are two fixed positive integers such that f(a+x)=b+[b^(3)+1-3b^(2)f(x)+3b{f(x)}^(2)-{f(x)}^(3)]^((1)/(3)) for all real x, then prove that f(x) is periodic and find its period.

If a, b be two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2 f(x)+3b f(x)^2-(f(x))^3]^(1/3) for all real x, then f(x) is a periodic function with period.

If a,b, be two fixed positive intergers such that , f (a+x)=b+ [b^(3) + 1 -3b^(2) f(x) + 3b {f(x)} ^(2) -{f (x)} ^(3)]^(1//3) for all real x, then f(x) is a periodic function with period-