Answer
False.
Replace "have the same graph" with "do not have the same graph."
Work Step by Step
Let $ h(x)=3^{x}.$
Then, the graph of f is obtained from the graph of h by reflecting it across the y-axis.
The graph of g is obtained from the graph of h by reflecting it across the x-axis.
So, the statement is false.
The simplest way to make it true is to replace "have the same graph" with "do not have the same graph."