Explanation:
you don't know the meaning of
![y = {h}^( - 1) (x)](https://img.qammunity.org/2023/formulas/mathematics/high-school/56jknwo8te5lra17vhom4bq4tclfqlhxd8.png)
it means it is the inverse function to h(x).
the regular function assigns an y value to every x value.
the inverse function now turns this around and finds for a given y value the original x value.
so, the inverse function is easier understood, if we would write it
![x = {h}^( - 1) (y)](https://img.qammunity.org/2023/formulas/mathematics/high-school/3lf4t4osn294ncndi6vwii3xqbyzmq9fa8.png)
but just for formal reasons, we don't define functions this way but do it like above (x is the input, y the output value).
just, the understanding of an inverse function is a I just described it.
that means for the points, simply x and y values trade places.
the point (1, 9) turns into (9, 1) (it means 1 was the original x value when the original function delivered 9 a result).
and the point (3, 2) turns into (2, 3).
so, move the 2 green dots to these coordinates.