Question

The range of the transformation function f(x,y)= (x+5,y-8) is (10,8), (-2,7), and (7,9) which point is in the domain

Answer 1

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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