Let f: X → Y be an invertible function. Show that the inverse of f –1 is f, i.e., (f–1)–1 = f.
Let f: X → Y be an invertible function.
Then, there exists a function g: Y → X such that gof = Ix and fog = Iy
Here, f-1 = g.
Now, gof = Ix and fog = Iy
⇒ f-1of = Ix and fof-1= Iy
Hence, f-1: Y → X is invertible and f is the inverse of f-1
i.e., (f-1)-1 = f.
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Welcome to the NCERT Solutions for Class 12 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 3 , Question 12: Let f: X → Y be an invertible function. Show that the inverse of f –1 is f, i.e., (f&ndas....
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