00:01
So in this problem, we're given the function g of x equals x times the square root of 25 minus x squared.
00:14
We're asked to find several values.
00:16
First we're asked to find g of zero.
00:19
Well, that's zero times a square root of 25 minus zero squared, which is, of course, zero.
00:27
G of minus five, so that would be minus five times the square root, 25 minus minus.
00:35
A negative 5 squared.
00:39
Well, negative 5 squared is 25.
00:42
25 minus 25 is 0.
00:45
So this is again zero.
00:49
Then g of 7.
00:51
Okay, so x is 7 times the square root, 25 minus 7 squared, which is 7 times the square root of, well, 7 squared's 49.
01:04
So that's a negative 24, which in real numbers does not exist.
01:23
And complex numbers, well, let's see...