kamy32604 kamy32604
  • 21-07-2020
  • Mathematics
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theking7x
theking7x theking7x
  • 21-07-2020
The correct answer are A,B,D and E

A. (F^-1(f(x))=x
B. F(f^-1(x))=x
D. Domain of f^-1(x) is the range of f(x)
E. Range of f^-1(x) is the domain of f(x)



Explain


When f(x) and g(x) are inverse of each other


F(g(x)= x
And the domain of f(x) is the range of g(x)


F^-1(x) is the inverse of f(x )

Then f(f^-1(x))=x



F^-1(x) is the inverse

F(f-1(x))= x


(F^-1(f(x))= x


F^-1(x) is the inverse Of f(x)

Then domain of f^-1 is the range of f(x)


The range of f^-1 is the domain of f(x)
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