Notice that the graph of g(x) is the graph of f(x) reflected about the origin.
Recall that the graph of a function h(x) reflected about the origin corresponds to the function:
[tex]-h(-x)\text{.}[/tex]
Therefore:
[tex]g(x)=-f(-x)\text{.}[/tex]
Answer:
[tex]g(x)=-f(-x)\text{.}[/tex]
