Question

Algebra Question: Answer quickly.

Given the following functions:

f (x) = x2

g (x) = x − 3

Find the composition of the two functions and show your process:

Answer 1

x^2 -6x +6

Explanation:

f (x) = x^2

g (x) = x − 3

f(g(x)) = Substitute g(x) in for x in the function f(x)

= (x-3)^2 -3

=x^2 -3x-3x+9 -3

=x^2 -6x +6