What is the inverse equation for y= 1/2x-3

Answer 1

y = (1/2)x - 3

x = (1/2)y - 3

x + 3 = (1/2)y

2(x + 3) = y

Answer 2

To get the inverse, you want to "switch" the x and y variables (ie wherever x occurs, replace with y, and wherever y occurs, replace with x). Then solve the resulting equation for y (ie y=...). That result will be the inverse function.

Answer 3

y = (1/2)x- 3

switch x and y and solve for the new y

x = (1/2)y -3

(1/2)y = x+3

y = 2x+6 = f^-1(x) = the inverse function

unless you really did mean y = 1/(2x) -3 or y = 1/(2x-3) then different answers

x = 1/(2y) -3, 1/(2y) = x+3, 2y = 1/(x+3) y = f^-1(x) = 1/(2x+6)

or

x = 1/(2y-3), 2y-3 = 1/x, 2y = 3+ 1/x, y = 3/2 +1/2x = f^-1(x)

Answer 4

When writing the inverse equation, our first step should be to switch x and y:

x= (1/2*y)-3

Now, we want to separate y to one side, which will take a few steps:

The next step should be to add 3 to both sides

x+3=(1/2*y)-3+3

x+3=(1/2*y)

Now, we need to multiply by 2 so that y is isolated on one side

2*(x+3)=2*(1/2*y)

we distribute the 2 while multiplying on the left side: 2*(x+3) = 2*x + 2*3 = 2x+6

we do the same on the right side: 2*(1/2*y)= 1*y = y

Now we put it together to get our answer!

y=2x+6

Answer 5

See the videa.