Answer:
{(-3, -2), (-4, 3), (-1, 0), (3, -7)}
Step-by-step explanation:
When you find the inverse of a function you swap the x and the y. So let's look at a couple examples and see what happens to the x and y values
Radical:
[tex]y=\sqrt{x}[/tex]
So let's just look at perfect squares so it's a bit easier to understand
(0, 0)
(4, 2)
(9, 3)
Now let's find the inverse:
[tex]x=\sqrt{y}[/tex]
Now to make this concept a bit easier to understand let's leave it in this form. Well the first notable thing, is that any operations applied to y will now apple to x, and any operations applied to x will apply to y (in this case the square root).
So if I input 9 as the y, the x will be 3
If I input 4 as y, the x will become 2
Some points are
(0, 0)
(2, 4)
(9, 3)
You'll notice the x and y values are swapped, well it's simply because you swap the x and y's place. this is also why the domain and range are swapped
So given the points {(-2, -3), (3, -4), (0, -1), (-7, 3)} you simply swap the x and y to get: {(-3, -2), (-4, 3), (-1, 0), (3, -7)}
