F(x) = 2x3 + 3x2 – 7x + 2
g(x) = 2x – 5
Find (f + g)(x).

(f + g)(x) = 2x³ + 3x² - 5x - 3 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x³ + 3x² -7x + 2

∵ g(x) = 2x - 5

→ (f + g)(x) means add f(x) and g(x)

∴ (f + g)(x) = (2x³ + 3x² - 7x + 2) + (2x - 5)

→ Add the like terms

∵ (f + g)(x) = 2x³ + 3x² + (-7x + 2x) + (2 - 5)

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

→ Remember that (+)(-) = (-)

∵ 2x³ + 3x³ + (-5x) + (-3) = 2x³ + 3x² - 5x - 3

∴ (f + g)(x) = 2x³ + 3x² - 5x - 3

add 5 subtract 1

step-by-step explanation: