Show that f (x) = πx-2 and f-1 (x) = (x+2/π) are inverse functions of one another

Question

Mathematics

Darian Roberson

14 June, 06:34

Show that f (x) = πx-2 and f-1 (x) = (x+2/π) are inverse functions of one another

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Kianna Fitzpatrick · Answer 1

They are not inverse functions of one another. For f (x) and g (x) to be inverses of each other, f (g (x)) = x. In this case, pi (x+2/pi) - 2 = pi * x, which is not x.