If f(x)=x/4 -3 and g(x)= 4x^2 +2x-4, find (f+g)(x).
A. x^2-12
B. 4x^2 + 9/4x-7 C.4x^2+7/4x-7
D. 4x^2 +9/4x+1

Respuesta :

(f+g)x = f(x)+g(x)

Therefore,

[tex] \frac{x}{4} - 3 + {4x}^{2} + 2x - 4 \\ 4 {x}^{2} + ( \frac{x}{4} + \frac{8x}{4} ) - 7 \\ 4 {x}^{2} + \frac{9x}{4} - 7[/tex]

Therefore, the answer is B.