Question

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

Answer 1

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

Answer 2

B.
`2x^2+(3x)/(2)-5`

Explanation:

Given functions,

`f(x)=(x)/(2)-2`

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

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

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

`=2x^2+(x+2x)/(2)-5` ( combine like terms )

`=2x^2+(3x)/(2)-5`

Option 'B' is correct.