Could someone explain how to solve this problem?

36 Views Asked by At

Let $$f(x)=x^2-3$$ For how many integer values of x is $f(f(f(x)))$ divisible by x?

1

There are 1 best solutions below

1
On

Hint: $$f(f(x))=(x^2-3)^2-3$$ and now what is $$f(f(f(x))$$?