00:01
For this question, given f of x equals x cubed plus 6, we're going to show that the cube root of x minus 6 is in fact the inverse.
00:11
Now, how we can do that is we can substitute the inverse function into x in the original function.
00:19
If we do that and simplify at the end, if we're left with simply x at the end, then it is the inverse.
00:30
Okay, so let's go ahead and do that.
00:33
Instead of x cubed, we're going to go ahead and put in three, or sorry, the cube root of x minus six to the third power plus six.
00:48
All right.
00:50
Now, if we have a cube root and we take it to the third power, they are inverses of each other.
00:57
So therefore, it actually gets rid of the cube root...