Question

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

Answer 1

Answer:

B. $2x^2+\frac{3x}{2}-5$

Step-by-step explanation:

Given functions,

$f(x)=\frac{x}{2}-2$

$g(x)=2x^2+x-3$

Since, (f+g)(x) = f(x) + g(x)

$=\frac{x}{2}-2+2x^2+x-3$

$=2x^2+\frac{x+2x}{2}-5$    ( combine like terms )

$=2x^2+\frac{3x}{2}-5$

Option 'B' is correct.

Answer 2

Hello : 
If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)
(f+g)(x)= f(x) +g(x) = x/2-2  +2x²+x-3 = x/2 +2x²+x-5
(f+g)(x)= (x+4x²-2x-10) /2
(f+g)(x)= (4x²+3x-10)/2 = 2x²+3/2 x -5