When m is the value, the domain of F (x) = (MX ^ 2 + 4x + m + 2) ^ 1 / 2 + (x ^ 2-mx + 1) ^ 0 is r

When m is the value, the domain of F (x) = (MX ^ 2 + 4x + m + 2) ^ 1 / 2 + (x ^ 2-mx + 1) ^ 0 is r

The domain is r,
That must be MX ^ 2 + 4x + m + 2 constant greater than or equal to 0
X ^ 2-mx + 1 cannot be equal to 0
that is
For MX ^ 2 + 4x + m + 2 opening upward, the judgment formula △ is less than or equal to 0, i.e
m>0 ①
△=16-4m(m+2)≤0 ②
For x ^ 2-mx + 1, Δ