If f(x) = 3x^2 - 2 and g(x) = 4x + 2 what is the value of (f + g)(2) ? please show work!!

Question

asked Jan 19, 2020 26.3k views

1 Answer

Yasei No Umi · Answer 1 · 2020-01-25T09:12:08+0000

The answer is:

(f+g)(2)=20

To solve the problem, we need to add the given functions, and then, evaluate the resultant function with the given value of "x" which is equal to 2.

We need to remember that:

(f+-g)(x)=f(x)+-g(x)

So, we are given the functions:

$f(x)=3x^2-2\\g(x)=4x+2\\$

Then, adding the functions , we have:

(f+g)(x)=f(x)+g(x)=(3x^2-2)+(4x+2)

(f+g)(x)=3x^2-2+4x+2=3x^2+4x-2+2=3x^2+4x

Therefore, we have that:

(f+g)(x)=3x^2+4x

Now, evaluating the function, we have:

(f+g)(2)=3(2)^2+4(2)=3*4+4*2=12+8=20

Hence, we have that the answer is:

(f+g)(2)=20

Have a nice day!