Help with a composition of two functions! 20 pts for a solution!

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

4 0

The function (fog)(x) would be (x^4 + 10x² + 27). Also, the domain of (fog)(x) is all the real numbers.

<h3>What is a function?</h3>

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:

brainly.com/question/2253924

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