Home
Class 11
MATHS
[" 48.If "a,b" be two fixed positive int...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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-

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 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 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?