Question

How do you find the inverse of `f(x)=1/(7x-9)`?

Answer 1

`y=(1+9x)/(7x)`

Explanation:

Change into `y=1/(7x-9)`.

Flip the `y`s and `x`s.

`x=1/(7y-9)`

Solve for `y`.

`x(7y-9)=1`
`7y-9=1/x`
`7y=1/x+(9x)/x=(1+9x)/x`
`y=(1+9x)/(7x)`