Question

If (f+g)(x)=7x^2−11x+3, which of these could be f(x) and g(x)?
A. f(x)=x^3+7x^2−2x;
g(x)=−9x+3
B. f(x)=−x^3+x^2+3;
g(x)=x^3+6x^2−11x
C. f(x)=−8x+1;
g(x)=7x^2−3x+3
D. f(x)=3x^2−6x−4;
g(x)=4x^2−5x+1

Answer 1

Answer:

opition B is the correct answer

Answer 2

The function that will sum up to 7x^2−11x+3 are  f(x)=−x^3+x^2+3 and g(x)=x^3+6x^2−11x

Sum and difference of functions

Given the function

(f+g)(x)=7x^2−11x+3

We need two functions f(x) and g(x) that will sum up to 7x^2−11x+3

looking at the functions f(x)=−x^3+x^2+3 and g(x)=x^3+6x^2−11x

f(x) + g(x) = −x^3+x^2+3 + x^3+6x^2−11x

f(x) + g(x) = x^2 + 6x^2 −11x + 3
f(x) + g(x) = 7x^2 - 11x + 3

Hence the function that will sum up to 7x^2−11x+3 are  f(x)=−x^3+x^2+3 and g(x)=x^3+6x^2−11x

Learn more on sum of functions here: https://brainly.com/question/17431959