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Confused can someone help

Confused can someone help-example-1

2 Answers

3 votes

Answer:

B. 3x^2 - 2x - 1.

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.

User Sir Hally
by
6.9k points
6 votes

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!

User Iafonov
by
6.4k points