Web Analytics

Verified Answer :

Bx^4 + 2x^2 + 2
(x^2 + 1)^2 + 1 = f(f(x))
expand that and we get b

The function f(f(x)) will be X⁴+2X²+2 so the correct option is B.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

We have been given that f(x) = x²+1

We need to find the function f(f(x)).

F(f(x)) = f(x²+1)

Now, to get f(x²+1), we will have to substitute x as x²+1 in the function f(x) as shown;

F(x²+1) = (x²+1)²+1

Expand the expression;

f(x²+1) = (x²+1)(x²+1)+1

f(x²+1) = (x⁴+x²+x²+1)+1

f(x²+1) = x⁴+2x²+1+1

f(x²+1) = x⁴+2x²+2

Hence f(f(x)) = x⁴+2x²+2. so the correct option is B.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ6

Related Questions