Question

let g be a function defined for all reals. which of the following conditions is not sufficient to guarantee that g has an inverse function?
a. g(x)=ax+b, a not= 0
b. g is strictly decreasing
c. g is symmetric to the origin
d. g is strictly increasing
e. g is one to one

Answer 1

C. because it can be a parabola

Answer 2

\[\text{A parabola isn't symmetric to the origin, but it's still c. because it can be something }\]\[\text{like } \sin(x) \text{ or } x^3 - x.\]

Answer 3

yeah I apologize it is symmetric with the y axis but nonetheless. C