F(x)=x^2+1 what is f(f(x))?

Answer

Find out f(f(x)) .

To prove

As given in the question

f(x) = x² + 1

Now

f(f(x)) = f (x² + 1)

Now find out the value of f (x² + 1).

f(f(x)) = f (x² + 1)

        = (x² + 1)² + 1

Using formula

(a + b)² = a² + b² + 2ab

Apply in the above function

f(f(x)) = (x² + 1)² + 1

f(f(x)) = + 1 + + 1

Simplify

f(f(x)) = +   + 2

Thus the value of  f(f(x)) is: f(f(x)) = +   + 2

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