f(x) = 3x² + 5x – 2
g(x) = 5x³ - 4x² + 4
We want to find
(f+g)(x)
We need to add the two functions, making sure to line up the powers of x
f (x) = 3x² + 5x – 2
+g(x) = 5x³ - 4x² + 4
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(f+g)(x) = 5x³ - x²+ 5x+2
The answer choice is choice D
D. (f+g)(x) = 5x³ - x² + 5x+2