Question

I have a great deal of problems with these can anyone help

Answer 1

f(y)=y+1/y^2-y ...The question is.....The domain of the function is???

Answer 2

The domain is all the points where the function is defined. The problem here is that you might end up dividing by zero. So the function isn't defined when that happens, but is defined everywhere else.

Answer 3

I am totally lost

Answer 4

how?

Answer 5

Are you saying that it is undefined

Answer 6

The domain would be all real except for 0. It can't be 0.

Answer 7

It's undefined at points where the function ends up trying to divide something by zero. Because you can't do that.

Answer 8

The only value that you can't plug into y would be 0, since there is fraction with the y variable in the denominator. Every other value you can use. Like stated above, you can't divide by 0. You can divide by anything else.

Answer 9

That means the domain is all real except for 0.

Answer 10

Assuming by y+1/y^2-y you meant:
\[\frac{y+1}{y^2} - y\]
and not
\[\frac{y+1}{y^2-y}\]

Answer 11

In the first one you can't have any values of y that make y^2 = 0. In the second one you can't have any values of y that make y^2 - y = 0.

Answer 12

oh man, tired brain. The way you wrote it, it would look like this:
\[y + \frac{1}{y^2} - y = \frac{1}{y^2}\]
so maybe I just implicitly assumed that you intended for there to be brackets around some of it, so that it's one of the two I wrote above...

Answer 13

Sabrena: I think you meant\[f(y)=\frac{ y+1 }{ y^2-y }\]Anyway, scarydoor explained to you what the domain of a function is.
Think about it this way: f(y) is a formula that does this calculation with a number (y) you put in. So f(2) = (2+1)/(2²-2)=3/2.
Now you might think: I can throw in any number, and f does the same calculation every time, so why is the domain not all numbers?
Well, it is, almost!
You will certainly know that dividing by 0 is not a good idea. In fact, it's impossible.
Now if you try to calculate f(0) or f(1), you will see that this leads to dividing by 0.
So the domain is: all real numbers except 0 and 1.