Question

f(x)=4x^6/(x-15)(x+14)
What is the domain of f?
attaching screenshot, i dont know how to put the answer in the format needed

Answer 1

\[f(x)=\frac{ 4x^{6} }{ (x-15)(x+14) }\]
In here you have to find out what x cannot equal. You can't have the denominator equal to zero. So for what values of x will equal zero if you plug it in?

Answer 2

15 and -14

Answer 3

how do i write that as the answer though??

Answer 4

Okay. So you can have any value except 15 and -14. The domain is the values of x that are included in the graph. Since 15 and -14 are not included, they are not part of the domain.

You are being asked to write in notation form. Which is (-inf,inf) <--- means all values of x can be used. If you have something like this (-inf,3] <--- it means all values from -infinity up to and including 3. If it were (-inf,3) it means all values from -infinity up to and not including 3. It works the same way viceversa [4,inf). [3,10] means all values including 3 to 10.

The answer would be (-inf,-14)U(-14,15)U(15,inf).

Answer 5

okay that makes sense. thank you!