Question 1091733
For the transformation T, write the inverse T<sup>-1</sup>. 
T: (x, y) --> (2x, y + 5)
T<sup>-1</sup> (x, y)--> 
A.) (x - 2, y - 5)
B.) (½x, y - 5)
C.) (2x - 1, y + 4) 
<pre>
The inverse of T, written T<sup>-1</sup>, does the exact opposite to
the coordinates as T does to them.

Transform T changes x to 2x, which is to double the first coordinate.

The opposite of doubling the first coordinate is halving the first 
coordinate, so T<sup>-1</sup> takes x to ½x

Transform T also takes y to y+5, which is adding 5 to the second coordinate.

The opposite of adding 5 to the second coordinate is subtracting 5 from
the second coordinate, so T<sup>-1</sup> takes y to y-5.  

Therefore,

T<sup>-1</sup>: (x, y)--> (½x, y-5)

Correct answer is B.  

Edwin</pre>