What is the inverse of the equation y = 2x - 3?

Question

kainui · Answer

The inverse of an equation is basically going backwards instead of from x to y, it's going from y to x. In order to reverse this, just switch the variables around and solve for your new "y"

For example if your equation was y=2x then you would switch it to x=2y and solve for y which would be y=x/2

anonymous · Answer

thank you

anonymous · Answer

i think i have lost my mind
let me try again
suppose you had to solve 
$$2x-3=11$$ what would you do?
1) ADD 3
2) DIVIDE  by 2

inverse does the same thing 
$$f^{-1}(x)=\frac{x+3}{2}$$

anonymous · Answer

or you can write 
$$y=2x-3$$ then switch $x$ and $y$ because that is what the inverse does, 
write 
$$x=2y-3$$ then solve for $y$
same two steps, same answer 
$$x=2y-3$$
$$x+3=2y$$
$$\frac{x+3}{2}=y$$
$$f^{-1}(x)=\frac{x+3}{2}$$

kainui · Answer

Wait, are you correcting me because I'm wrong? I'm not sure... anymore...