Project Two Mathematical Marvels

All questions

Scenario: Players embark on a quest to restore a magical artifact that has been shattered into fragments by an evil sorcerer. Each fragment contains a function that players must use. They will encounter various obstacles and enemies, and to overcome them, they must correctly identify the composition of two function fragments.

Task: Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.

f(x)=√x+2, g(x)=x2+5

f(g(x))= sqrt(x^2+5)+2

g(f(x)) = x+4sqrt(x)+9