Question

How do you find the domain and range of `g(x) = 1-2x^2`?

Answer 1

There are no radicals or fractions involved, so the domain is
`-oo < x<+oo`

Explanation:

Since `x^2>=0->-2x^2<=0`:

`->1-2x^2<=1` (equal when `x=0`)

So the range is `-oo < g(x)<=1`