Inverse of a function domain and range


Asked by maham237 @ in Mathematics viewed by 336 People


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

Answered by maham237 @



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

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