ПОВТОРЕННЯ НАВЧАЛЬНОГО МАТЕРІАЛУ » §.2 (7.5)
5) y = √(2x^2- 5x-3) + √(3-x); D(y): 2x2 – 5x – 3 ≥ 0; 3 – x ≥ 0; x ≤ 3 D = 25 + 4 • 2 • 3 = 49; x1 = (5+7)/4 = 3; x2 = (5-7)/4 = –2/4 = –1/2; x ∈ (–∞; –1/2] ∪ {3}.
5) y = √(2x^2- 5x-3) + √(3-x); D(y): 2x2 – 5x – 3 ≥ 0; 3 – x ≥ 0; x ≤ 3 D = 25 + 4 • 2 • 3 = 49; x1 = (5+7)/4 = 3; x2 = (5-7)/4 = –2/4 = –1/2; x ∈ (–∞; –1/2] ∪ {3}.