3. Let f: A-→ B and g : B A be functions. Suppose that y = f (x) if and only if r =g (y). Prove that f is invertible and g = f-1.

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Chapter6: Matrices And Determinants
Section6.4: Determinants And Cramer’s Rule
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3. Let f: A→ B and g:B A be functions. Suppose that y =f (x) if and only if r g (y).
Prove that f is invertible and g f-1.
Transcribed Image Text:3. Let f: A→ B and g:B A be functions. Suppose that y =f (x) if and only if r g (y). Prove that f is invertible and g f-1.
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