Respuesta :
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
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