Question

Confused can someone help

Answer 1

Answer:

B.   3x^2 - 2x - 1.

Step-by-step explanation:

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

= -4x + 3 + 3x^2 + 2x - 4

Adding like terms we get the answer:

= 3x^2 - 2x - 1.

Answer 2

Hello!

The answer is:

B. $(f+g)(x)=3x^{2} -2x-1$

Why?

To solve the problem, we need to add/subtract like terms. The like terms are the terms that share the same variable and the same exponent.

For example:

$x^{2} +3x^{2} +5x^{3}=4x^{2}+5x^{3}$

We were able to add the terms that were squared since both shares the same variable and the same exponent.

So, we are given the functions:

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

Now, we are asked to calculate (f+g)(x) which is also equal to f(x) + g(x).

Then, calculating we have:

$(f+g)(x)=(-4x+3)+(3x^{2} +2x-4)\\\\(f+g)(x)=3x^{2} -4x+2x+3-4\\\\(f+g)(x)=3x^{2} -2x-1$

Hence, the answer is:

B. $(f+g)(x)=3x^{2} -2x-1$

Have a nice day!