R(x)=f(x)+g(x) where f(x)=2x2+7x−28x2−16 and g(x)=7x+4−x2+16

R(X) = -27x^2 + 14x + 4

Step-by-step explanation:

f(x) = 2x^2 + 7x - 28x^2 - 16

Combine like terms

f(x) = -26x^2 + 7x - 16

now for g(x)

g(x) = 7x + 4 - x^2 + 16

g(x) = -x^2 + 7x + 20

Now to solve the main equation

R(x) = --26x^2 + 7x - 16 - x^2 + 7x + 20

Combine like terms

R(x) = -27x^2 + 14x + 4

Hope this helped!