Answer:
(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
