9. Show that the following functions are their own inverses. (a) The function f: (0, 0) (0,00) given by f(x) = 1/x. (b) The function : P(S)→ P(S) defined by (A) = A *. (c) The function g: R → R given by g(x)=1-x.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 19E
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9. Show that the following functions are their own inverses.
(a) The function f: (0,00)→→ (0,00) given by
f(x)=1/x.
(b) The function : P(S)→ P(S) defined by
$(A) = A *.
(c) The function g: R→ R given by g(x) = 1-x.
Transcribed Image Text:9. Show that the following functions are their own inverses. (a) The function f: (0,00)→→ (0,00) given by f(x)=1/x. (b) The function : P(S)→ P(S) defined by $(A) = A *. (c) The function g: R→ R given by g(x) = 1-x.
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