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

Answer:

B

Step-by-step explanation:

We have the two functions:

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

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:

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

Combine like terms:

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

Add:

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

So, our answer is B.

And we're done!