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Let f(x)= x 3 + 3 x 10 for all real x . Find the least natural number n such that f(n +x)=f(x) for all real x .

Correct answer

60

Step-by-step solution

f(x)= x 3 + 3 x 10 period of x 3 is 6 1 and period of 3 x 10 is 2 3 / 10 = 20 3 LCM is 60 1 n=60

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