The function (fog)(x) would be (x^4 + 10x² + 27). Also, the domain of (fog)(x) is all the real numbers.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
Given;
f(x) = x² + 2
g(x) = x² + 5
so, to take the composition of f and g (fog) replace the x in f(x) with g(x);
(fog)(x) = (x² + 5)² + 2
(fog)(x) = (x^4 + 25 + 10x² )+ 2
(fog)(x) = (x^4 + 10x² + 27)
Also, the domain of (fog)(x) is all the real numbers.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ1
