I want to subtitute $x = 1$ into the expression $$f(x)=x^2 + 3 (x^2 - m^2) + \sqrt{x^2 + 1}$$ but I don't calculate the value $f(1)$, that is mean, I want $$1^2 + 3(1^2-m^2)+\sqrt{1^2 + 1}.$$ If I tried
f[x_] := x^2 + 3 (x^2 - m^2) + Sqrt[x^2 + 1]; f[1] I receive
1 + Sqrt[2] + 3 (1 - m^2)
How do I tell Mathematica to do that?

f["1"]. $\endgroup$