what are the solutions to the equation f(x)= g(x)?

Answer:
2 solutions
Step-by-step explanation:
We are given the equations of f(x) and g(x).
To find f(x) = g(x), we just let those two equations equal each other
[tex]x^{2} -4x+5=x+1[/tex]
Group all like terms,
[tex]x^{2} -3x+4=0[/tex]
Factorise,
[tex](x-4)(x+1)=0[/tex]
[tex]x=4, x=-1[/tex]
Therefore, there are two solutions
Hope this helped!!