Answer:
0
3
Step-by-step explanation:
The given functions are
[tex]f(x)=x^2-4x+3[/tex]
We can rewrite this function in the vertex form to obtain;
[tex]f(x)=(x-2)^2-1[/tex]
This is the graph of the parent function [tex]h(x)=x^2[/tex] shifted, 2 units to the right and 1 unit down.
The second function is
[tex]g(x)=-x^2+3[/tex]
This is the graph of the parent function [tex]h(x)=x^2[/tex] reflected in the x-axis and shifted up 3 units.
The graph of the two functions are shown in the attachment.
The solution to f(x)=g(x) is where the two graphs meet.
The two graphs intersected at
(0,3) and (2,-1)
