We get that the domain will be {-7, 2, 5}.
We are given a transformation function:
f ( x , y ) = ( x + 5 , y - 8 )
Also, we are given the points in this transformation function as:
(10, 8), (-2, 7) and (7, 9)
Now, we have to find the point that lies in the domain of the function.
We have:
x + 5
Also, the values of x + 5 are given as 10, -2 and 7.
For (10, 8)
x + 5 = 10
x = 10 - 5
x = 5
For (-2, 7)
x + 5 = -2
x = - 2 - 5
x = - 7
For (7, 9)
x + 5 = 7
x = 7 - 5
x = 2
So, domain is {-7, 2, 5}.
Therefore, we get that the domain will be {-7, 2, 5}.
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