The given equation is,
[tex]y=\frac{6}{x+2}+4[/tex]Domain function is defined everywhere except those values of argument
x when the denominator is zero.
That is,
x + 2 = 0
x = -2
SO the domain is,
[tex]x\text{ }\ne-2[/tex](Since x = -2 gives only 4)
domain is real numbers except -2.
putting, x = -2, we have,
[tex]y=4[/tex]Therefore the range is
[tex]y\ne4[/tex]Thus range is real numbers except 4
Thus, correct option is (d)