What are the domain and range of f^-1(x) please show all steps to prove

Answer 1

Let f(x) be a function with domain D and range R.

The inverse of f(x), denoted f^-1(x), is a function with domain R and range D.

To prove this, let y = f^-1(x). Then,

x = f(y)

Therefore, the domain of f^-1(x) is the range of f(x), which is R.

Similarly, the range of f^-1(x) is the domain of f(x), which is D.

Therefore, the domain of f^-1(x) is R and the range of f^-1(x) is D.

Answer 2

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