00:01
In this video we're going to find what is the domain of the function f of x.
00:07
We got right here to the right so let's consider some things.
00:12
For instance this is a quadratic equation and polynomial equation are defined generally for all the real set and that's the case.
00:23
The function has the domain valid defined for all the real numbers.
00:29
So the domain of f of x is minus infinity to positive infinity or simply infinity the range what is the range of of x if we plug it into f of x is equal to 2x plus 5 x equals 0 then we get let me rewrite it y equal 2 times 0 plus 5 we get y intercept so this function has a positive positive a coefficient leading coefficient and the y intercept is the number 5 so we can state that the range is equal to every every number, any number greater than five up to the infinity.
01:34
So this is our range and this is our domain.
01:40
So let's write it here to the left.
01:44
Domain minus infinity, infinity, range five from infinity.
01:55
Okay.
01:55
So, second function, we got g of x is equal to square root of x minus 3 over x minus 11.
02:10
Notice, we need to find the domain.
02:14
The domain is all the numbers that doesn't undefined the function if we call it, if you can say it so.
02:22
So we can write x minus 3 greater than or even...