Question

PLEASE HELP! ON TIMER! 1.Given the following functions, f(x)=x^2 g(x)=x-3 find the composition of the two functions and show your work. f(g(x)) 2.Given the following functions, f(x)=x^2 g(x)=x-3 find the composition of the two functions and show your work. g(f(x)) 3. what would be the domain restriction? describe how you found the answer. 1 over x-3

Answer 1

I can only answer the first one for now but the answer is x^2 - 6x + 9.

Explanation:

f(x) = x^2 and g(x) = x - 3.

To find f(g(x)) we replace the x in f(x) by g(x).

f(g(x)) = (x - 3)^2

= x^2 - 6x + 9.