00:01
We have been given a function and that is g of x is equal to root x divided by 2x square plus x minus 1.
00:15
And we need to find the domain of this function.
00:20
Now if you find a domain, we will first look for the numerator part.
00:24
And this numerator the only thing is that we are having a root.
00:27
So for this purpose x must always be greater than or equal to 0.
00:32
And this is the first condition that we must adhere to.
00:35
And now the second is denominator and denominator part what we see that this should not be equals to 0 in any case.
00:44
So first let us factorize it.
00:45
So we can write it as 2x square plus 2x minus x minus 1 and if you take 2x common it gives you x plus 1 if you take minus 1 common again it gives you x plus 1 and finally it gives you 2x minus 1 and at this place it gives you x plus 1 now if you go for we get something like x should not be okay x should not be equals to your 1 by 2 similarly one more thing is there x should not be equal to minus 1 now from where we have got this you have just simply equated this particular thing and this particular thing to 0, that is 2x minus 1 equals to 0.
01:32
So it gives you x is equal to 1 by 2...