Question

Question #050ad

Answer 1

I'll assume `3(1-2x)` is in the denominator.

To find an inverse, first make the expression an equation. For this, simply define a variable `y` as:

`y=1/(3(1-2x))`

Now, switch every `x` to a `y` and every `y` to a `x`.

`x=1/(3(1-2y))`

Finally, solve for `y`.

`3x=1/(1-2y)`

`1/(3x)=1-2y`

`1/(3x)-1=-2y`

`y=1/2-1/(6x)`

`y=(3x-1)/(6x)`