Question

If f(x)= x/2 -2 and g(x) = 2x2 +x-3, find (f +g)(x).

A. 2x2 +3/2x+1
B. 2x2+3/2x-5
O c. 2x² -x/2 + 1
D. x2-6

Answer 1

B

Explanation:

(f+g)(x) means add f(x) and g(x) together:

(x/2)-2 + 2x^2 +x -3

collect all the like terms:

2x^2

(x/2) + x = 3/2x (explanation below)

-2 -3 = -5

x/2 + x can be turned to 1x/2 + 2/2x (2/2 = 1, so when you simplify it to 1x, it is still x)