Question

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

Answer 1

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

Therefore,

`(x)/(4) - 3 + {4x}^(2) + 2x - 4 \\ 4 {x}^(2) + ( (x)/(4) + (8x)/(4) ) - 7 \\ 4 {x}^(2) + (9x)/(4) - 7`

Therefore, the answer is B.