00:01
This question gives you a function and asks you to find the inverse.
00:04
The function it gives is f of x equals log of 3x.
00:13
Let's quickly review inverse functions so we know what we're doing.
00:17
The inverse function, which you write as f to the negative 1, is a function such that when it takes f of x, it spits out x.
00:30
An interesting result of this is that f, of f inverse of x is also equal to x.
00:38
This fact will be useful for us.
00:42
Suppose we do that over here.
00:44
Suppose we plug in f inverse of x as into our function f.
00:50
That'll give us log of 3 f inverse of x.
00:57
But from this rule on the right, we know that it is also equal to x...
