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atroni [7]
3 years ago
6

Confused can someone help

Mathematics
2 answers:
Alex3 years ago
7 0

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.

svet-max [94.6K]3 years ago
7 0
<h2>Hello!</h2>

The answer is:

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

<h2>Why?</h2>

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!

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