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If the function is invertible then find its inverse. Hence prove that .
If the function $f(x) = \sqrt{2x-3}$ is invertible then find its inverse. Hence prove that $(f \circ f^{-1})(x) = x$.
Given: $f(x) = \sqrt{2x-3}$ is invertible
To show: $(f \circ f^{-1})(x) = x$
Answer
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From ISC 2018 Mathematics Paper 1, question 2.