Two solutions:
In[1]:= Clear[x, y, z, is, q, f];
q = x^2 + y^2 + z^2 - 5 is;
f[x_, y_, z_, is_] = q;
f[1, 1, 1, 1]
Out[4]= -2
and
In[5]:= Clear[x, y, z, is, q, f];
q[x_, y_, z_, is_] = x^2 + y^2 + z^2 - 5 is;
f[x_, y_, z_, is_] := q[x, y, z, is]
f[1, 1, 1, 1]
Out[8]= -2