Someone check my work, please :) Find the inverse:

My work:

However, the answer sheet says the answer is . I did notice that if you multiply each number by 2 you get the numbers given in the answers:

Thanks :)

They are the same. If you were to graph them, they would overlap.

Step-by-step explanation:

Look at it this way:

Insert this value:

Now solve. Insert y:

Switch x and y:

Add 4 to both sides:

Use the rule :

Multiply both sides by 2:

Divide both sides by 3:

Take the square root of both sides*:

Therefore:

This is not a function (by the way) because ± means that there are two y values per x value. If you were to graph this, it would fail the vertical line test, which proves that it is not a function.

:Done

*You need to have the ± symbol when you take a square root because, although  2×2=4, (-2)×(-2)=4 as well. The square root of 4 could be either -2 or positive 2. The same can be said for the above result.

15

step-by-step explanation: