6. f(2x² + x) = 8x² + 4x + 5 funksiya berilgan. f-1(x) ni toping. (Bunda f-1(x)-f(x) funksiyaning teskari funksiyasi) A) 5x-4 B) 4x + 5 x-4 C) 5 x-5 D) 4

Let's find the inverse function f⁻¹(x) step by step. First, let y = f(2x² + x) = 8x² + 4x + 5 We can rewrite this as: y = 4(2x² + x) + 5 Now, let u = 2x² + x So, y = 4u + 5 Now we express u in terms of y: u = (y - 5) / 4 So, 2x² + x = (y - 5) / 4 We are looking for the inverse function f⁻¹(x), so we want to find f⁻¹(y). Since f(2x² + x) = 8x² + 4x + 5, we can say that if we replace 2x² + x with x, then f(x) = 4x + 5. To find the inverse, let y = 4x + 5. Then, x = (y - 5) / 4. So, f⁻¹(y) = (y - 5) / 4. Replacing y with x, we get f⁻¹(x) = (x - 5) / 4. This corresponds to the option D).

Ответ: (x-5)/4

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