The function $g$ is defined by $g(x)=e^{2x}-6x-7$. The graph of $g$ is obtained from the graph of $f$ by a horizontal stretch with scale factor $k$, followed by a vertical translation of $c$ units. Find the value of $k$ and the value of $c$.
The function $g$ is defined by $g(x)=e^{2x}-6x-7$. The graph of $g$ is obtained from the graph of $f$ by a horizontal stretch with scale factor $k$, followed by a vertical translation of $c$ units. Find the value of $k$ and the value of $c$.