00:01
So the question here wants us to check and exercise 114 to 119 whether or not each statement is true or false.
00:06
So for 114 here, we know that if f of x is equal to x squared minus 4x and g of x here is equal to root x squared minus 4, f of g of x here in this particular case is going to be square root of x squared minus 4 squared minus 4 here.
00:26
So essentially this is the same thing as x squared minus 4.
00:30
Minus 4, which is going to be x squared minus 8.
00:34
So that should be an x rather.
00:37
So x of f of g of 5 here is going to be 25 minus 8, which is not going to be negative 25.
00:43
So this statement is going to be false.
00:46
For 1 .15 here, basically states that there can never be two functions, f and g, where f is not equal to g.
00:53
For f of g of x is equal to g of x.
00:56
So in this particular case, basically asking us whether, or not, we can have a composite function of f of g of x be the same thing as g of x, where the only way to get this is if f is equal to g in this particular case.
01:14
And this is going to be a true statement...