Answer:
f(x) = x^2 - 4x + 7
Step-by-step explanation:
[tex]f(x) = x^2 + 3[/tex]
[tex]g(x) = x - 2[/tex]
[tex]f(g(x)) = (x-2)^2+3[/tex]
[tex]f(g(x)) = (x^2-4x+4) + 3[/tex]
[tex]f(g(x)) = x^2 - 4x + 4 + 3[/tex]
[tex]f(g(x)) = x^2-4x+7[/tex]