SOLUTION: a function is defined by the equation y=1/2x-3/2 which equation defines the inverse of this function? (1)y=2x+3 (3)y=2x+3/2 (2)y=2x-3 (4)y=2x-3/2 hi there so this is the

Algebra ->  Equations -> SOLUTION: a function is defined by the equation y=1/2x-3/2 which equation defines the inverse of this function? (1)y=2x+3 (3)y=2x+3/2 (2)y=2x-3 (4)y=2x-3/2 hi there so this is the      Log On


   

Question 694187: a function is defined by the equation y=1/2x-3/2 which equation defines the inverse of this function?
(1)y=2x+3 (3)y=2x+3/2
(2)y=2x-3 (4)y=2x-3/2
hi there so this is the question i will be asking the most important thing is that i know how to do this question so if you would please give instructions on how you arrived to your answer that would be Aweosome and also thank you in advance
Answer by MathTherapy(10858) About Me  (Show Source):
You can put this solution on YOUR website!

a function is defined by the equation y=1/2x-3/2 which equation defines the inverse of this function?
(1)y=2x+3 (3)y=2x+3/2
(2)y=2x-3 (4)y=2x-3/2
hi there so this is the question i will be asking the most important thing is that i know how to do this question so if you would please give instructions on how you arrived to your answer that would be Aweosome and also thank you in advance

y+=+%281%2F2%29x+-+3%2F2

To find the inverse, just interchange variables, and then solve for y, as follows:

x+=+%281%2F2%29y+-+3%2F2

x+=+y%2F2+-+3%2F2

2x+=+y+-+3 ---- Multiplying by LCD, 2

highlight_green%28y+=+2x+%2B+3%29