Question

The mapping diagram shows a function S(x).

Which mapping diagram shows the inverse of S(x)?

Answer 1

To find the inverse of a function represented by a mapping diagram, swap the input and output values.

Step-by-step explanation:

To find the inverse of a function represented by a mapping diagram, we need to swap the input and output values. In other words, if the original mapping shows pairs of values (x, y), the inverse mapping will show pairs of values (y, x).

In the given mapping diagram, if S(x) is the original function, the inverse function will be shown in the mapping diagram where the inputs and outputs are swapped.

Answer: The mapping diagram that shows the inverse of S(x) is the one where the inputs and outputs are swapped.

Answer 2

Answer: Choice A

Step-by-step explanation:

Notice how the input 5 leads to the output 3 when we look at the S(x) function. The inverse will undo this. So that must mean the answer is choice A where we have the input 3 lead to the output 5. In short, the inputs and outputs swap places. This means the domain and ranges swap.