Question

Diketahui :
f(x) = 2x + 2 / 4x ; g(x) = x - 3
Tentukan fungsi (f + g) (x) !

Tolong dibantu kak​

Answer 1

Jawaban:

[tex]f(x) = \frac{2x + 2}{4x} \\ g(x) = x - 3[/tex]

[tex](f + g)(x) = f(x) + g(x) \\ (f + g)(x) = \frac{2x + 2}{4x} + (x - 3) \\ (f + g)(x) = \frac{2x + 2}{4x} + \frac{4x(x - 3)}{4x} \\ (f + g)(x) = \frac{2x + 2 + 4x(x - 3)}{4x} \\ (f + g)(x) = \frac{2x + 2 + 4 {x}^{2} - 12x}{4x} \\ (f + g)(x) = \frac{4 {x}^{2} - 10x + 2}{4x} \\ (f + g)(x) = \frac{1}{4x} (4 {x}^{2} - 10x + 2)[/tex]