Question 1093683
<br>An interesting idea -- to find the inverse of a linear function by using test points.  If we find two (x,y) values that satisfy the given equation and switch the x and y values in each pair, then we will have two points that satisfy the inverse function.  Then using those two points we can find the equation of the linear function that contains both of them.<br>
But that method won't work for anything other than a linear function....<br>
Okay, so two points that lie on the graph of the given function are (0,1) and (1,3).<br>
Switching the coordinates, we get the point (3,1) and (1,0).  A quick calculation shows the slope of that line is 1/2; and then using that slope with either point we can find that the equation of the inverse function is
{{{y = (1/2)x - 1/2}}}<br>
So the first response you got to your question is right -- none of the answer choices is the correct inverse function.