00:01
We need to find the oblique asymptote and we need to sketch the graph of the given function.
00:06
The given function is f of x is equal to x squared plus 1 divided by x.
00:14
We see that here the degree of the numerator is 2, which is greater than the degree of the denominator 1.
00:22
Hence, let us use the long division process to write f of the form, quotient plus reminder by divisor.
00:34
First, let us set up the long division process.
00:38
So, x squared plus 1, here, x.
00:42
So the first term of the numerator will be x.
00:44
We get x square.
00:46
We need to subtract these two terms.
00:48
So we'll be changing the sign...