Question 2:Given the following functions:f(x) = x^2 g(x) = x - 3Find the composition of the two functions and show your process:g(f(x))Question 3:If the composition of two functions is: 1x - 3What would be the domain restriction? Describe how you found that answer.
Accepted Solution
A:
f(x) = x^2 and g(x) = x - 3.To find f(g(x)) replace the x in f(x) by g(x).f(g(x)) = (x - 3)^2= x^2 - 6x + 9.