Finding inverses of rational functions | Equations | Algebra 2 | Khan Academy

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The inverse of a function ƒ is a function that maps every output in ƒ's range to its corresponding input in ƒ's domain. We can find an expression for the inverse of ƒ by solving the equation 𝘹=ƒ(𝘺) for the variable 𝘺. See how it's done with a rational function.

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[evanwilliams]

Something to point out -- there is a domain constraint on f(x) where x cannot equal (4/3).

Wouldn't this mean that there is also a range constraint on f^-1(x) such that f^-1(x) cannot equal (4/3)? If (4/3) is excluded from the domain of f(x), then it cannot possibly be in the range of f^-1(x).

Assuming I understand correctly and that what I've said above is true, it might be good to add an annotation clarifying this. It would seem like an important point to understand in how the domains of functions relate to the ranges of their inverses.

[balthazarbankiweni]

What If I have this answer y= -x-1/-2
How can I put in inverse form.
Need help