Respuesta :
Answer:
- x = 1
- x = 4
Step-by-step explanation:
The graph shows g(x) intersects f(x) in two places, where x=1, and where x=4.

Answer:
The solutions of given equation are 1 and 4.
Step-by-step explanation:
The given functions are
[tex]f(x)=x^2-4x+5[/tex]
[tex]g(x)=x+1[/tex]
We have to find the solutions of given equation [tex]f(x)=g(x)[/tex].
[tex]x^2-4x+5=x+1[/tex]
[tex]x^2-4x+5-x-1=0[/tex]
[tex]x^2-5x+4=0[/tex]
[tex]x^2-4x-1x+4=0[/tex]
[tex]x(x-4)-1(x-4)=0[/tex]
[tex](x-4)(x-1)=0[/tex]
[tex]x=4,1[/tex]
Therefore the solutions of given equation are 1 and 4.
