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Let be the set of all positive real numbers and . Show that inverse of exists and find .

Mathematics20184 marksDerivation
Let $R^+$ be the set of all positive real numbers and $f: R^+ \to [4, \infty): f(x) = x^2 + 4$. Show that inverse of $f$ exists and find $f^{-1}$.

Given: Let $R^+$ be the set of all positive real numbers and $f: R^+ \to [4, \infty): f(x) = x^2 + 4$

To show: Inverse of $f$ exists and find $f^{-1}$

Answer

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Relations and Functions

From ISC 2018 Specimen Mathematics Paper 1, question 2.