The function f(x) = x² - 4x + 5, taken on the domain [2, ∞), is one-one and maps onto [1, ∞), so it has an inverse f⁻¹ from [1, ∞) to [2, ∞). Which of the following statements are correct?

MathematicsAdvancedHigh School (11–12)Functions and Calculus › Composite and Inverse Functions JEE Advanced

The function $f(x) = x^2 - 4x + 5$ , taken on the domain $[2, \infty)$ , is one-one and maps onto $[1, \infty)$ , so it has an inverse $f^{-1}$ from $[1, \infty)$ to $[2, \infty)$ . Which of the following statements are correct?

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← Each function below is defined for every real x and takes real values. A function from ℝ to ℝ is one-one when different inputs give different outputs, and onto when every real number is an output. Which of the following statements are correct?A polynomial f with real coefficients satisfies f(x) f(y) = f(x) + f(y) + f(xy) - 2 for all real x and y, and f(2) = 5. Which of the following statements are correct? →

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