00:03
Here we have functions f and g, and for part a we're going to add them, so we have 1 over x plus 1 over x squared, and if we want to simplify this, we can get a common denominator of x squared by multiplying the first fraction by x over x, and then we can add these numerators together, so we get x plus 1 over x squared.
00:28
Part b is similar.
00:30
We have f minus g, so we can take 1 over x minus 1 over x squared.
00:36
And again, if we want to get a common denominator, we'll multiply the first one by x over x.
00:42
And so then when we subtract the numerators, we have x minus 1 over x squared.
00:48
For part c, we're finding the function f times g.
00:52
So we're going to multiply 1 over x by 1 over x squared.
00:56
We can multiply the numerators and multiply the denominators, and we get 1 over x cubed...