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


{{{y = (1/2)x - 3/2}}}


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


{{{x = (1/2)y - 3/2}}}


{{{x = y/2 - 3/2}}}


{{{2x = y - 3}}} ---- Multiplying by LCD, 2


{{{highlight_green(y = 2x + 3)}}}