Question

If g(x) < 0 for all real values of x, which of the following could be the function g?

g(x) = -x2 + 1
g(x) = -x - 1
g(x) = -x3 - 1
g(x) = -3x + 1
g(x) = -x2 - 1

Answer 1

g(x) = -x2 - 1

as x^2 is always +ve,
-x^2 is always -ve
then, -x^2-1 is always -ve