Question

What is the range of the inverse of `y = \frac { 4- 3x } { 3x + 2}`?

Answer 1

`{y| y != -2/3, y in RR}`

Explanation:

We know that the domain of the function here is `{x| x in RR, x != -2/3}`.

Because the inverse is a reflection over the line `y = x`, the domain of the intitial function will become the range of the inverse function.

Hence, the range will be `{y| y != -2/3, y in RR}`.

Hopefully this helps!