The function is $\"f(x)=\\frac{2x^3-5}{x^2+x-6}\"$ .

All possible values of $\"\\large$ is domain of a function.

The denominator of the function should not be zero.

$\"x^2+x-6\\neq$

$\"x^2+3x-2x-6\\neq$

$\"x(x+3)-2(x+3)\\neq$

$\"(x+3)(x-2)\\neq$

$\"x+3\\neq$ and $\"x-2\\neq$

$\"x\\neq$ and $\"x\\neq$ .

Hence, the domain of function is set of all real numbers except $\"-3\"$ and $\"2\"$ .

The domain of the function is $\"(-\\infty,$ .

$\"\"$

The domain of the function is $\"(-\\infty,$ .