00:04
Thank you so much for your question.
00:06
For each pair of functions f and g below, find f of g of x and g of f of x.
00:12
Then determine whether f and g are inverses of each other.
00:17
Okay, simply find your answers as much as possible.
00:23
So for part a, we have f of x is x minus 3, g of x is x plus 3.
00:42
So f of g of x is equal to x minus 3, but here x is replaced with x plus 3.
00:55
So x plus 3 minus 3.
01:00
So it's just x.
01:02
Okay, and g of f of x, it's x is replaced with x minus 3.
01:23
It's x minus 3 plus 3, which is still x.
01:27
So f and g are inverses of each other.
01:34
That is true.
01:35
Okay, choose this one.
02:02
Okay, now let's look at part b.
02:13
Part b, f of x equals negative 1 over 4x.
02:26
X is not 0.
02:31
G of x equals 1 over 4x...