Question

If f(x)=x2+1, then (f∘f)(x)=

Answer 1

The resulting composite function (f∘f)(x) is x⁴+2x²+2

When a function is written inside another function, it is known as a composite function

Given the function f(x)=x²+1,

(f∘f)(x) = f(f(x))

f(f(x)) = f(x²+1)

This means we will need to replace x with x²+1 in f(x) as shown:

f(x²+1) = (x²+1)²+1

Expand

f(x²+1) = x⁴+2x²+1+1

f(x²+1) =  x⁴+2x²+2

Hence the resulting composite function (f∘f)(x) is x⁴+2x²+2

Learn more here: brainly.com/question/3256461