Step-by-step explanation:
[tex]f(x) = 6 {x}^{2} - 4[/tex]
[tex]g(x) = 2x + 2[/tex]
[tex] \: [/tex]
[tex] = (f - g)(x)[/tex]
[tex] = f(x) - g(x)[/tex]
[tex] = 6 {x}^{2} - 4 - (2x + 2)[/tex]
[tex] = 6 {x}^{2} - 4 - 2x - 2[/tex]
[tex] = 6 {x}^{2} - 2x - 4 - 2[/tex]
[tex] = 6 {x}^{2} - 2x - 6[/tex]
[tex](f - g)(x) = 6 {x}^{2} - 2x - 6[/tex]
