Which Of the following is domain and range that represent the inverse of the function F(x)

Question

Answer 1

The above function F(x) = { (9, 6), (10, 7), (11, 8), (12, 9) }

Domain of the function { 9, 10, 11, 12 }

Range of the function { 6, 7, 8, 9 }

The function F(x) is a one - to - one function,since x and y values are used only once.

Since the F(x) is one - to - one the inverse relation is also a function.

The inverse function interchanges the domain and the range.

Domain of F ^-1(x) = { 6, 7, 8, 9 }

Range of F ^-1(x) = { 9, 10, 11, 12 }

Inverse function is { (6, 9), (7, 10), (8, 11), (9, 12) }

Option D is correct.