Question

What is the domain of `( 6 + 3x^(3) -4x^(2) -17x ) / ( x^(3) -3x^(2) -10x )`?

Answer 1

Domain: `RR - {-2, 0, 5}`

Explanation:

The given expression is valid for all values of `x` except those for which the denominator is equal to zero.

`x^3=3x^2-10x != 0`

Factoring:
`(x)(x-5)(x+2) != 0`

Therefore
`x!=0` and `x!=5` and `x!=-2`