Question

!!!NEED HELP ASAP, 40 POINTS!!!

If f(x)= x/2 and g(x) = 2x^2, find (f+g)(x)
A. 2x^3 + 3/2x+1
B. 2x^2 + 3/2x-5
C. x^2-6
D. 2x^2 + x/2+1

Answer 1

B

Explanation:

We have the two functions:

`f(x)=(x)/(2)-2\text{ and } g(x)=2x^2+x-3`

And we want to find:

`(f+g)(x)`

This is the same thing as:

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

Let's substitute them for their respective equations. This yields:

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

Combine like terms:

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

Add:

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

So, our answer is B.

And we're done!