(b) Let f:(R\{1}) → (R\{1}) and ƒ˜¹:(R\{1} ) → (R \{1}) be both defined by f(x) = f¯¹(x) = = x+1 x-1' Determine whether (fƒ o f−¹)(x) = (ƒ−¹ o f)(x) = i(x) .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(b) Let f: (R\{1}) → (R\{1}) and f-¹:(R\{1} ) → (R \ {1})
be both defined by
x + 1
x-1'
Determine whether (ƒ o f−¹)(x) = (ƒ−¹ o f)(x) = i(x) .
f(x) = f-¹(x) =
Transcribed Image Text:(b) Let f: (R\{1}) → (R\{1}) and f-¹:(R\{1} ) → (R \ {1}) be both defined by x + 1 x-1' Determine whether (ƒ o f−¹)(x) = (ƒ−¹ o f)(x) = i(x) . f(x) = f-¹(x) =
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