Question

Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(x) below

Answer 1

The domain of the original function is:
 Domain: {1,2,3,4}
 The range of the original function is:
 Range: {2,4,6,8}

 The inverse of the function f (x) is that function that fulfills:
 1) The domain of f(x)^-1 is the range of the function f (x)
 2) The range of f(x)^-1 is the domain of the function f (x)

 We have then that the domain of the inverse function is:
 Domain: {2,4,6,8}
 The range of the inverse function is:
 Range: {1,2,3,4}

 Answer:
 Option 1

Answer 2

The domain of a function is the set of x-values for which it is defined. The domain and the range of the function is given below.

What is the domain and range of a function?

The domain of a function is the set of x-values for which it is defined, whereas the range is the set of y-values for which it is defined.

The domain and range of an inverse function are the range and domain of the original function, respectively. This can be written as,

Domain of Inverse function = Range of Original function

Range of Inverse function = Domain of Original function

The domain and range that represent the inverse of the function f(x) is,

2  →  1

4  →  2

6  →  3

8  →  4

Thus, the domain and the range of the function is given above.

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