Find the (implied) domain of the function. Use Interval Notation. F(x) = 2x/ x2 − 25?

You need to work on correct presentation. We use Shift-6 for exponents: x^2 instead of x2. Then we use parentheses to indicate what is grouped and what is not: (x^2 - 25).

A math statement must have exactly one possible interpretation, no guessing. Spelling mistrakes in math are fatal. A program will not tell you that you made a mistake, it will just give you goofy results.

A function is any process that gives a single output for each qualified input. For example x=√y is not a function because each input gives two outputs. Domain is all qualified inputs, and range is all possible outputs.

So let's see what we get from our guess: f(x) = 2x/(x^2 - 25)
www.wolframalpha.com/input/?i=y+%3D+2x%2F%28x^2+-+25%29

The input can be rewritten in the form y = 2x/(x - 5)(x + 5) and that emphasizes that x = ±5 are invalid inputs., so the domain is all real numbers except ±5.

If I have guessed correctly.