How to find the domain of a function?

pokegirl

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10. x^2<-3x+18. The solution of this inequality consists one or more of the following intervals: (-inf, A), (A, B), and (B), inf where A<B. Find A and B.

11.x^4>25x^2 Solve the inequality and write the answer in interval notation.

12. (x+20)/(x^2-1) Find the domain of the function and write in interval notation.

13. The domain is of the function in interval notation f(x)= Sqrt(14+5x-x^2) is [A,B] Find A and B.

14.Find the domain of the function in interval notation. cuberoot(t-5)

15. Find the domain of the function 1/(sqrt(4x+10))

Answers that explain how to solve these problems would be greatly appreciated. As would anything explaining how to solve them on a TI-89 titanium calculator. I am still very new to this particular calculator and am still trying to figure it out.
 
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