Question

Find ( f+g ) (x) for each of the following functions

Answer 1

(f + g)(x) = 2x³ + 3x² + x + 2

Step-by-step explanation:

If f(x) = 2x³ - 5x² + x - 3 and g(x) = 8x² + 5, we can calculate (f + g)(x) as follows

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (2x³ - 5x² + x - 3) + (8x² + 5)

Then, we can simplify the expression adding the like terms, so

(f + g)(x) = 2x³ - 5x² + x - 3 + 8x² + 5

(f + g)(x) = 2x³ + (-5x² + 8x²) + x + (-3 + 5)

(f + g)(x) = 2x³ + 3x² + x + 2

Therefore, the answer is:

(f + g)(x) = 2x³ + 3x² + x + 2