Question

F(x) = x2 + 1 What is f(f(x))?

Answer 1

Answer:

b. on edge

Step-by-step explanation:

Answer 2

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

$f(f(x)) = x^{4} +1 +2x^{2}+ 1$

Simplify

  $f(f(x)) = x^{4} +2x^{2}+ 2$

Thus the value of  f(f(x)) is  $f(f(x)) = x^{4} +2x^{2}+ 2$ .