For f(x)=x and g(x)=x1, what is (fg)(x);(gf)(x);(fg)(2)and(gf)(2)?

1 Answer
Oct 19, 2017

x1 ; x1; 1 ; 0.41

Explanation:

(fg)(x) can be rewritten as f(g(x))
This means that for an x-value, you input that into g(x), and then input your solution for that into f(x).
f(g(2))=21
1=1
(gf)(x) can be rewritten as g(f(x)). This time we start with f(x) and plug that into g(x).
g(f(2))=(2)1 (Its good to memorize that 21.41)
1.411
2