[tex]f(x) = \frac{x}{2} - 2 \\ [/tex]
[tex]g(x) = 2x + {(x - 3})^{2} [/tex]
[tex]f(x) + g(x) = (f + g)(x)[/tex]
[tex]( \frac{x}{2} - 2) +( 2x + ({x - 3})^{2} \: ) = \\ [/tex]
[tex] \frac{x}{2} - 2 + 2x + {x}^{2} - 6x + 9 = \\ [/tex]
[tex] {x}^{2} - 6x + 2x + \frac{x}{2} + 9 - 2 = \\ [/tex]
[tex] {x}^{2} - 4x + \frac{x}{2} + 7 = \\ [/tex]
[tex] {x}^{2} - \frac{8}{2}x - \frac{1}{2}x + 7 = \\ [/tex]
[tex](f + g)(x) = {x}^{2} - \frac{9}{2}x + 7 \\ [/tex]
_________________________________
Done....
♥️♥️♥️♥️♥️
