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)
