f(x) = 2x^2 + 7x-5 and g(x) = -8x^2-3x+5. What is g(x) + f(x).
To find g(x) + f(x), we add the two functions term by term:
g(x) + f(x) = (-8x^2-3x+5) + (2x^2 + 7x-5)
= (-8x^2 + 2x^2) + (-3x + 7x) + (5 - 5)
= -6x^2 + 4x + 0
= -6x^2 + 4x
So, g(x) + f(x) is equal to -6x^2 + 4x.