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vodomira [7]
3 years ago
15

If f is a function such that f(f(x)) = x^2 - 1 what is f(f(f(f(3))))

Mathematics
1 answer:
kozerog [31]3 years ago
7 0

Given:

The function is f(f(x))=x^2-1.

To find:

The value of f(f(f(f(3)))).

Solution:

We have,

f(f(x))=x^2-1

Now,

f(f(f(f(x)))=(f(f(x)))^2-1

f(f(f(f(x)))=(x^2-1)^2-1

Putting x=3, we get

f(f(f(f(3)))=((3)^2-1)^2-1

f(f(f(f(3)))=(9-1)^2-1

f(f(f(f(3)))=(8)^2-1

f(f(f(f(3)))=64-1

f(f(f(f(3)))=63

Therefore, the value of f(f(f(f(3)))) is 63.

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