Question

find range of 3/2-x^2​

Answer 1

$\frac{3}{2 - {x}^{2} }$
The denominator must not be equal to 0 for the function to be defined,
$2 - {x}^{2} > 0 \\ - {x}^{2} > - 2 \\ {x}^{2} < 2 \\ x < + \sqrt{2}or \: - \sqrt{2}$

therefore x must be x must be smaller than positive of root 2