How do you find the compositions given #f(x)=x + 5#, #g(x)= 2x#, #h(x)= x-2#?
1 Answer
Apr 27, 2017
There are many compositions that you can perform with 3 functions, each time, you will substitute one expression into the other.
Explanation:
Example 1: f(g(x)) = 2x + 5 because 2x replaces x.
Example 2: g(f(x)) = 2(x + 5) because x + 5 replaces x.
Example 3: g(h(x)) = 2(x - 2) because x - 2 replaces x.
Example 4: h(f(x)) = (x + 5) - 2 or x + 3 since x + 5 replaces x.
