00:01
The 1 to 1 function g is defined below.
00:03
G of x equals 5x minus 4 over 3x plus 8.
00:15
Okay, so find g inverse of x.
00:23
To find g inverse of x, what we do is reset x equals 5y minus 4 over 3y plus 8.
00:43
So i have 3xy plus 8x equals 5y minus 4.
00:55
3xy minus 5y equals negative 4 minus 8x.
01:04
So 5y minus 3xy equals 8x plus 4.
01:11
For the left side, i can factor out y.
01:14
So y times 5 minus 3x equals 4 times x plus 2.
01:21
I divide both sides by 5 minus 3x.
01:24
So i got y equals 4 times x plus 2 divide 5 minus 3x.
01:36
Okay.
01:44
So this is what i got.
01:46
For f inverse, sorry, g inverse of x, 4 times x plus 2 over 5 minus 3x.
02:06
So the domain of g inverse is we set 5 minus 3x.
02:28
Can be 0.
02:31
So 3x is not 5...